diff --git a/applications/test/DirLister/DirLister.H b/applications/test/DirLister/DirLister.H
index 77db93ad3b..9e76206b51 100644
--- a/applications/test/DirLister/DirLister.H
+++ b/applications/test/DirLister/DirLister.H
@@ -85,7 +85,7 @@ Description
 
         fileNameList procDirs
         (
-            DirLister::dirs(".").sorted<fileName>(matchProcs)
+            DirLister::dirs(".").csorted<fileName>(matchProcs)
         );
     }
     \endcode
@@ -206,11 +206,11 @@ public:
 
         //- Return a complete list of names, sorted in natural order
         template<class StringType=Foam::word>
-        List<StringType> sorted() const;
+        List<StringType> csorted() const;
 
         //- Return complete list of names, sorted in natural order
         template<class StringType=Foam::word, class UnaryPredicate>
-        List<StringType> sorted
+        List<StringType> csorted
         (
             const UnaryPredicate& pred,
             const bool prune = false
diff --git a/applications/test/DirLister/DirListerTemplates.C b/applications/test/DirLister/DirListerTemplates.C
index 5fb079ca6e..7de1216c63 100644
--- a/applications/test/DirLister/DirListerTemplates.C
+++ b/applications/test/DirLister/DirListerTemplates.C
@@ -70,23 +70,23 @@ Foam::List<StringType> Foam::DirLister::list() const
 
 
 template<class StringType, class UnaryPredicate>
-Foam::List<StringType> Foam::DirLister::sorted
+Foam::List<StringType> Foam::DirLister::csorted
 (
     const UnaryPredicate& pred,
     const bool prune
 ) const
 {
-    List<StringType> lst(list<StringType>(pred, prune));
-    sort(lst, stringOps::natural_sort());
+    List<StringType> list(list<StringType>(pred, prune));
+    Foam::sort(list, stringOps::natural_sort());
 
-    return lst;
+    return list;
 }
 
 
 template<class StringType>
-Foam::List<StringType> Foam::DirLister::sorted() const
+Foam::List<StringType> Foam::DirLister::csorted() const
 {
-    return sorted<StringType>(predicates::always());
+    return csorted<StringType>(predicates::always());
 }
 
 
diff --git a/applications/test/DirLister/Test-DirLister.C b/applications/test/DirLister/Test-DirLister.C
index af0e76bc9d..49a14336a2 100644
--- a/applications/test/DirLister/Test-DirLister.C
+++ b/applications/test/DirLister/Test-DirLister.C
@@ -162,7 +162,7 @@ int main(int argc, char *argv[])
         Info<< "dirList: "
             << flatOutput
                (
-                   DirLister::dirs(".").sorted<fileName>(relist)
+                   DirLister::dirs(".").csorted<fileName>(relist)
                ) << nl;
     }
 
diff --git a/applications/test/HashTable1/Test-HashTable1.C b/applications/test/HashTable1/Test-HashTable1.C
index 75e4eeda2d..1f116d0986 100644
--- a/applications/test/HashTable1/Test-HashTable1.C
+++ b/applications/test/HashTable1/Test-HashTable1.C
@@ -75,8 +75,8 @@ int main()
     }
 
 
-    Info<< "\ntable1 sorted() :" << endl;
-    for (const auto& iter : table1.sorted())
+    Info<< "\ntable1 csorted() :" << endl;
+    for (const auto& iter : table1.csorted())
     {
         Info<< "    " << iter.key() << " => " << iter.val() << nl;
     }
@@ -100,7 +100,7 @@ int main()
     }
 
     Info<< "\nInplace modified - via sorted() access :" << endl;
-    for (const auto& iter : table1.sorted())
+    for (const auto& iter : table1.csorted())
     {
         Info<< "    " << iter.key() << " => " << iter.val() << nl;
     }
diff --git a/applications/test/IOobjectList/Test-IOobjectList.C b/applications/test/IOobjectList/Test-IOobjectList.C
index 5a74e1adfd..c5546650a0 100644
--- a/applications/test/IOobjectList/Test-IOobjectList.C
+++ b/applications/test/IOobjectList/Test-IOobjectList.C
@@ -5,7 +5,7 @@
     \\  /    A nd           | www.openfoam.com
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
-    Copyright (C) 2017-2022 OpenCFD Ltd.
+    Copyright (C) 2017-2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -290,14 +290,14 @@ int main(int argc, char *argv[])
         Info<< "Time: " << runTime.timeName() << nl;
 
         report(objects);
-        report(objects.sorted());
+        report(objects.csorted());
 
-        report(objects.sorted<volScalarField>());
-        report(objects.sorted<volVectorField>());
+        report(objects.csorted<volScalarField>());
+        report(objects.csorted<volVectorField>());
 
         // Extra checks
-        report<volScalarField>(objects.sorted<volScalarField>());
-        report<volScalarField>(objects.sorted<volVectorField>());
+        report<volScalarField>(objects.csorted<volScalarField>());
+        report<volScalarField>(objects.csorted<volVectorField>());
 
 
         findObjectTest(objects);
diff --git a/applications/test/foamToEnsight-check/foamToEnsight-check.C b/applications/test/foamToEnsight-check/foamToEnsight-check.C
index 18b0dbb131..4885972a81 100644
--- a/applications/test/foamToEnsight-check/foamToEnsight-check.C
+++ b/applications/test/foamToEnsight-check/foamToEnsight-check.C
@@ -5,7 +5,7 @@
     \\  /    A nd           | www.openfoam.com
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
-    Copyright (C) 2022 OpenCFD Ltd.
+    Copyright (C) 2022-2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -139,7 +139,7 @@ void printInfo(const ensightMesh& mesh, int verbose = 0)
     FixedList<label, 3> cellStats(Zero);
     FixedList<label, 3> faceStats(Zero);
 
-    for (const auto& iter : mesh.cellZoneParts().sorted())
+    for (const auto& iter : mesh.cellZoneParts().csorted())
     {
         FixedList<label, 3> stats = printPartInfo(iter.val(), verbose);
 
@@ -149,7 +149,7 @@ void printInfo(const ensightMesh& mesh, int verbose = 0)
         }
     }
 
-    for (const auto& iter : mesh.faceZoneParts().sorted())
+    for (const auto& iter : mesh.faceZoneParts().csorted())
     {
         FixedList<label, 3> stats = printPartInfo(iter.val(), verbose);
 
@@ -159,7 +159,7 @@ void printInfo(const ensightMesh& mesh, int verbose = 0)
         }
     }
 
-    for (const auto& iter : mesh.boundaryParts().sorted())
+    for (const auto& iter : mesh.boundaryParts().csorted())
     {
         FixedList<label, 3> stats = printPartInfo(iter.val(), verbose);
 
diff --git a/applications/test/gravityMeshObject/Test-gravityMeshObject.C b/applications/test/gravityMeshObject/Test-gravityMeshObject.C
index bee9e70120..f95a39fe49 100644
--- a/applications/test/gravityMeshObject/Test-gravityMeshObject.C
+++ b/applications/test/gravityMeshObject/Test-gravityMeshObject.C
@@ -57,7 +57,7 @@ int main(int argc, char *argv[])
 
     Info<< "Found: " << objects << nl << endl;
 
-    for (const IOobject& io : objects.sorted<uniformDimensionedVectorField>())
+    for (const IOobject& io : objects.csorted<uniformDimensionedVectorField>())
     {
         if (io.name() == meshObjects::gravity::typeName)
         {
diff --git a/applications/test/objectRegistry/Test-objectRegistry.C b/applications/test/objectRegistry/Test-objectRegistry.C
index 76c3f4a1c5..2b2c6c1ff8 100644
--- a/applications/test/objectRegistry/Test-objectRegistry.C
+++ b/applications/test/objectRegistry/Test-objectRegistry.C
@@ -5,7 +5,7 @@
     \\  /    A nd           | www.openfoam.com
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
-    Copyright (C) 2016-2022 OpenCFD Ltd.
+    Copyright (C) 2016-2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -78,8 +78,8 @@ void printRegistry
     Foam::label indent
 )
 {
-    UPtrList<const regIOobject> objects(obr.sorted());
-    wordList regNames(obr.sortedNames<objectRegistry>());
+    const UPtrList<const regIOobject> objects(obr.csorted());
+    const wordList regNames(obr.sortedNames<objectRegistry>());
 
     std::string prefix;
     for (label i=indent; i; --i)
diff --git a/applications/test/objectRegistry2/Test-objectRegistry2.C b/applications/test/objectRegistry2/Test-objectRegistry2.C
index 80780f6b99..66f7da171e 100644
--- a/applications/test/objectRegistry2/Test-objectRegistry2.C
+++ b/applications/test/objectRegistry2/Test-objectRegistry2.C
@@ -145,8 +145,8 @@ void printRegistry
     Foam::label indent
 )
 {
-    UPtrList<const regIOobject> objects(obr.sorted());
-    wordList regNames(obr.sortedNames<objectRegistry>());
+    const UPtrList<const regIOobject> objects(obr.csorted());
+    const wordList regNames(obr.sortedNames<objectRegistry>());
 
     std::string prefix;
     for (label i=indent; i; --i)
@@ -315,7 +315,7 @@ int main(int argc, char *argv[])
 
         registryTests(mesh);
 
-        report(mesh.sorted<const volScalarField>());
+        report(mesh.csorted<volScalarField>());
         report(mesh.csorted<volVectorField>());
 
         Info<< nl;
diff --git a/src/OpenFOAM/containers/HashTables/HashTable/HashTable.C b/src/OpenFOAM/containers/HashTables/HashTable/HashTable.C
index 01dd0bcfd2..59e247b3a4 100644
--- a/src/OpenFOAM/containers/HashTables/HashTable/HashTable.C
+++ b/src/OpenFOAM/containers/HashTables/HashTable/HashTable.C
@@ -192,14 +192,6 @@ Foam::HashTable<T, Key, Hash>::csorted() const
 }
 
 
-template<class T, class Key, class Hash>
-Foam::UPtrList<const typename Foam::HashTable<T, Key, Hash>::node_type>
-Foam::HashTable<T, Key, Hash>::sorted() const
-{
-    return csorted();
-}
-
-
 template<class T, class Key, class Hash>
 Foam::UPtrList<typename Foam::HashTable<T, Key, Hash>::node_type>
 Foam::HashTable<T, Key, Hash>::sorted()
diff --git a/src/OpenFOAM/containers/HashTables/HashTable/HashTable.H b/src/OpenFOAM/containers/HashTables/HashTable/HashTable.H
index 6879d890e1..3884212de8 100644
--- a/src/OpenFOAM/containers/HashTables/HashTable/HashTable.H
+++ b/src/OpenFOAM/containers/HashTables/HashTable/HashTable.H
@@ -34,7 +34,7 @@ Description
     depends on the method used to generate the hash key index, the
     table capacity, insertion order etc. When the key order is
     important, use the sortedToc() method to obtain a list of sorted
-    keys and use that for further access, or the sorted() method
+    keys and use that for further access, or the csorted()/sorted() methods
     to obtain a UPtrList of entries to traverse in sorted order.
 
     Internally the table uses closed addressing into a flat storage space
@@ -351,11 +351,6 @@ public:
         //  The lifetime of the returned content cannot exceed the parent!
         UPtrList<const node_type> csorted() const;
 
-        //- Const access to the hash-table contents in sorted order
-        //- (sorted by keys).
-        //  The lifetime of the returned content cannot exceed the parent!
-        UPtrList<const node_type> sorted() const;
-
         //- Non-const access to the hash-table contents in sorted order
         //- (sorted by keys).
         //  The lifetime of the returned content cannot exceed the parent!
@@ -1006,6 +1001,11 @@ public:
 
         //- Same as contains()
         bool found(const Key& key) const { return this->contains(key); }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const node_type> sorted() const { return this->csorted(); }
 };
 
 
diff --git a/src/OpenFOAM/db/IOobjectList/IOobjectList.C b/src/OpenFOAM/db/IOobjectList/IOobjectList.C
index 4439109d00..c06d0f7503 100644
--- a/src/OpenFOAM/db/IOobjectList/IOobjectList.C
+++ b/src/OpenFOAM/db/IOobjectList/IOobjectList.C
@@ -220,22 +220,6 @@ Foam::label Foam::IOobjectList::count(const char* clsName) const
 }
 
 
-// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
-
-Foam::UPtrList<const Foam::IOobject>
-Foam::IOobjectList::sorted() const
-{
-    return sorted<void>();
-}
-
-
-Foam::UPtrList<const Foam::IOobject>
-Foam::IOobjectList::sorted(const bool syncPar) const
-{
-    return sorted<void>(syncPar);
-}
-
-
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 Foam::wordList Foam::IOobjectList::names() const
diff --git a/src/OpenFOAM/db/IOobjectList/IOobjectList.H b/src/OpenFOAM/db/IOobjectList/IOobjectList.H
index 5c951c4ec5..427f8513fd 100644
--- a/src/OpenFOAM/db/IOobjectList/IOobjectList.H
+++ b/src/OpenFOAM/db/IOobjectList/IOobjectList.H
@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2016-2022 OpenCFD Ltd.
+    Copyright (C) 2016-2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -129,12 +129,13 @@ class IOobjectList
             const bool doSort
         );
 
-        //- Templated implementation for sorted()
+        //- Templated implementation for csorted()/sorted()
         template<class Type, class MatchPredicate>
         static UPtrList<const IOobject> objectsTypeImpl
         (
             const IOobjectList& list,
-            const MatchPredicate& matchName
+            const MatchPredicate& matchName,
+            const bool doSort
         );
 
         //- Templated implementation for lookup()
@@ -421,26 +422,37 @@ public:
         HashTable<wordHashSet> classes(const MatchPredicate& matchName) const;
 
 
-    // Sorted access
+    // List-wise access (unsorted)
 
-        //- The sorted list of IOobjects
-        //  The lifetime of the returned content cannot exceed the parent!
-        UPtrList<const IOobject> sorted() const;
-
-        //- The sorted list of IOobjects with optional check for
-        //- parallel consistency.
-        //  FatalError if syncPar = true and names are not consistent on all
-        //  processors.
-        //  The lifetime of the returned content cannot exceed the parent!
-        UPtrList<const IOobject> sorted(const bool syncPar) const;
-
-        //- The sorted list of IOobjects with headerClassName == Type::typeName
+        //- The unsorted list of IOobjects with
+        //- headerClassName == Type::typeName
         //
         //  \note If \a Type is \c void, no headerClassName check is used
         //      (always true).
         //  The lifetime of the returned content cannot exceed the parent!
         template<class Type>
-        UPtrList<const IOobject> sorted() const;
+        UPtrList<const IOobject> cobjects() const;
+
+        //- The unsorted list of IOobjects with
+        //- headerClassName == Type::typeName
+        //- that also have a matching object name.
+        //  The lifetime of the returned content cannot exceed the parent!
+        template<class Type, class MatchPredicate>
+        UPtrList<const IOobject> cobjects
+        (
+            const MatchPredicate& matchName
+        ) const;
+
+    // List-wise access (sorted)
+
+        //- The sorted list of IOobjects with
+        //- headerClassName == Type::typeName
+        //
+        //  \note If \a Type is \c void, no headerClassName check is used
+        //      (always true).
+        //  The lifetime of the returned content cannot exceed the parent!
+        template<class Type>
+        UPtrList<const IOobject> csorted() const;
 
         //- The sorted names of the IOobjects with optional check for
         //- parallel consistency.
@@ -448,13 +460,30 @@ public:
         //  processors.
         //  The lifetime of the returned content cannot exceed the parent!
         template<class Type>
-        UPtrList<const IOobject> sorted(const bool syncPar) const;
+        UPtrList<const IOobject> csorted(const bool syncPar) const;
+
+        //- The sorted list of IOobjects
+        //  The lifetime of the returned content cannot exceed the parent!
+        UPtrList<const IOobject> csorted() const
+        {
+            return csorted<void>();
+        }
+
+        //- The sorted list of IOobjects with optional check for
+        //- parallel consistency.
+        //  FatalError if syncPar = true and names are not consistent on all
+        //  processors.
+        //  The lifetime of the returned content cannot exceed the parent!
+        UPtrList<const IOobject> csorted(const bool syncPar) const
+        {
+            return csorted<void>(syncPar);
+        }
 
         //- The sorted list of IOobjects with headerClassName == Type::typeName
         //- that also have a matching object name.
         //  The lifetime of the returned content cannot exceed the parent!
         template<class Type, class MatchPredicate>
-        UPtrList<const IOobject> sorted(const MatchPredicate& matchName) const;
+        UPtrList<const IOobject> csorted(const MatchPredicate& matchName) const;
 
         //- The sorted list of IOobjects with headerClassName == Type::typeName
         //- that also have a matching object name.
@@ -462,7 +491,7 @@ public:
         //  processors.
         //  The lifetime of the returned content cannot exceed the parent!
         template<class Type, class MatchPredicate>
-        UPtrList<const IOobject> sorted
+        UPtrList<const IOobject> csorted
         (
             const MatchPredicate& matchName,
             const bool syncPar
@@ -769,10 +798,67 @@ public:
         {
             return getObject(objName);
         }
+
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        template<class Type>
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const IOobject> sorted() const
+        {
+            return csorted<Type>();
+        }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        template<class Type>
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const IOobject> sorted(const bool syncPar) const
+        {
+            return csorted<Type>(syncPar);
+        }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const IOobject> sorted() const
+        {
+            return csorted<void>();
+        }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const IOobject> sorted(const bool syncPar) const
+        {
+            return csorted<void>(syncPar);
+        }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        template<class Type, class MatchPredicate>
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const IOobject> sorted(const MatchPredicate& matchName) const
+        {
+            return csorted<Type>(matchName);
+        }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        template<class Type, class MatchPredicate>
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const IOobject> sorted
+        (
+            const MatchPredicate& matchName,
+            const bool syncPar
+        ) const
+        {
+            return csorted<Type>(matchName, syncPar);
+        }
 };
 
 
-// Ostream operator
+// Ostream Operator
 Ostream& operator<<(Ostream& os, const IOobjectList& list);
 
 
diff --git a/src/OpenFOAM/db/IOobjectList/IOobjectListTemplates.C b/src/OpenFOAM/db/IOobjectList/IOobjectListTemplates.C
index 515e964715..475c3586b6 100644
--- a/src/OpenFOAM/db/IOobjectList/IOobjectListTemplates.C
+++ b/src/OpenFOAM/db/IOobjectList/IOobjectListTemplates.C
@@ -5,7 +5,7 @@
     \\  /    A nd           | www.openfoam.com
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
-    Copyright (C) 2018-2022 OpenCFD Ltd.
+    Copyright (C) 2018-2023 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -177,13 +177,14 @@ Foam::wordList Foam::IOobjectList::namesTypeImpl
 }
 
 
-// Templated implementation for sorted()
+// Templated implementation for csorted(), csorted()
 template<class Type, class MatchPredicate>
 Foam::UPtrList<const Foam::IOobject>
 Foam::IOobjectList::objectsTypeImpl
 (
     const IOobjectList& list,
-    const MatchPredicate& matchName
+    const MatchPredicate& matchName,
+    const bool doSort
 )
 {
     UPtrList<const IOobject> result(list.size());
@@ -203,7 +204,10 @@ Foam::IOobjectList::objectsTypeImpl
 
     result.resize(count);
 
-    Foam::sort(result, nameOp<IOobject>());  // Sort by object name()
+    if (doSort)
+    {
+        Foam::sort(result, nameOp<IOobject>());  // Sort by object name()
+    }
 
     return result;
 }
@@ -472,19 +476,30 @@ Foam::label Foam::IOobjectList::count
 
 template<class Type>
 Foam::UPtrList<const Foam::IOobject>
-Foam::IOobjectList::sorted() const
+Foam::IOobjectList::cobjects() const
 {
-    return objectsTypeImpl<Type>(*this, predicates::always());
+    // doSort = false
+    return objectsTypeImpl<Type>(*this, predicates::always(), false);
 }
 
 
 template<class Type>
 Foam::UPtrList<const Foam::IOobject>
-Foam::IOobjectList::sorted(const bool syncPar) const
+Foam::IOobjectList::csorted() const
+{
+    // doSort = true
+    return objectsTypeImpl<Type>(*this, predicates::always(), true);
+}
+
+
+template<class Type>
+Foam::UPtrList<const Foam::IOobject>
+Foam::IOobjectList::csorted(const bool syncPar) const
 {
     UPtrList<const IOobject> list
     (
-        objectsTypeImpl<Type>(*this, predicates::always())
+        // doSort = true
+        objectsTypeImpl<Type>(*this, predicates::always(), true)
     );
 
     checkObjectOrder(list, syncPar);
@@ -495,18 +510,31 @@ Foam::IOobjectList::sorted(const bool syncPar) const
 
 template<class Type, class MatchPredicate>
 Foam::UPtrList<const Foam::IOobject>
-Foam::IOobjectList::sorted
+Foam::IOobjectList::cobjects
 (
     const MatchPredicate& matchName
 ) const
 {
-    return objectsTypeImpl<Type>(*this, matchName);
+    // doSort = false
+    return objectsTypeImpl<Type>(*this, matchName, false);
 }
 
 
 template<class Type, class MatchPredicate>
 Foam::UPtrList<const Foam::IOobject>
-Foam::IOobjectList::sorted
+Foam::IOobjectList::csorted
+(
+    const MatchPredicate& matchName
+) const
+{
+    // doSort = true
+    return objectsTypeImpl<Type>(*this, matchName, true);
+}
+
+
+template<class Type, class MatchPredicate>
+Foam::UPtrList<const Foam::IOobject>
+Foam::IOobjectList::csorted
 (
     const MatchPredicate& matchName,
     const bool syncPar
@@ -514,7 +542,8 @@ Foam::IOobjectList::sorted
 {
     UPtrList<const IOobject> list
     (
-        objectsTypeImpl<Type>(*this, matchName)
+        // doSort = true
+        objectsTypeImpl<Type>(*this, matchName, true)
     );
 
     checkObjectOrder(list, syncPar);
@@ -531,6 +560,7 @@ Foam::wordList Foam::IOobjectList::names
     const MatchPredicate& matchClass
 ) const
 {
+    // doSort = false
     return namesImpl(*this, matchClass, predicates::always(), false);
 }
 
@@ -553,6 +583,7 @@ Foam::wordList Foam::IOobjectList::names
     const MatchPredicate2& matchName
 ) const
 {
+    // doSort = false
     return namesImpl(*this, matchClass, matchName, false);
 }
 
@@ -572,6 +603,7 @@ Foam::wordList Foam::IOobjectList::names
 template<class Type>
 Foam::wordList Foam::IOobjectList::names() const
 {
+    // doSort = false
     return namesTypeImpl<Type>(*this, predicates::always(), false);
 }
 
@@ -589,6 +621,7 @@ Foam::wordList Foam::IOobjectList::names
     const MatchPredicate& matchName
 ) const
 {
+    // doSort = false
     return namesTypeImpl<Type>(*this, matchName, false);
 }
 
diff --git a/src/OpenFOAM/db/objectRegistry/objectRegistry.C b/src/OpenFOAM/db/objectRegistry/objectRegistry.C
index df993fd902..76b7bad5cb 100644
--- a/src/OpenFOAM/db/objectRegistry/objectRegistry.C
+++ b/src/OpenFOAM/db/objectRegistry/objectRegistry.C
@@ -158,27 +158,6 @@ Foam::label Foam::objectRegistry::count(const char* clsName) const
 }
 
 
-Foam::UPtrList<const Foam::regIOobject>
-Foam::objectRegistry::csorted() const
-{
-    return objectsTypeImpl<const regIOobject>(*this, predicates::always());
-}
-
-
-Foam::UPtrList<const Foam::regIOobject>
-Foam::objectRegistry::sorted() const
-{
-    return objectsTypeImpl<const regIOobject>(*this, predicates::always());
-}
-
-
-Foam::UPtrList<Foam::regIOobject>
-Foam::objectRegistry::sorted()
-{
-    return objectsTypeImpl<regIOobject>(*this, predicates::always());
-}
-
-
 Foam::wordList Foam::objectRegistry::names() const
 {
     return HashTable<regIOobject*>::toc();
diff --git a/src/OpenFOAM/db/objectRegistry/objectRegistry.H b/src/OpenFOAM/db/objectRegistry/objectRegistry.H
index 9ae0c9e868..226ef9f043 100644
--- a/src/OpenFOAM/db/objectRegistry/objectRegistry.H
+++ b/src/OpenFOAM/db/objectRegistry/objectRegistry.H
@@ -150,13 +150,24 @@ class objectRegistry
             const bool doSort
         );
 
-        //- Templated implementation for sorted()
+        //- Templated implementation for csorted()/sorted()
         //  Called with 'Type' or 'const Type'
         template<class Type, class MatchPredicate>
         static UPtrList<Type> objectsTypeImpl
         (
+            const bool strict,         // Check with isType<Type>
             const objectRegistry& list,
-            const MatchPredicate& matchName
+            const MatchPredicate& matchName,
+            const bool doSort          // Sort the list by name
+        );
+
+        //- Templated implementation for lookupClass()
+        //  Called with 'Type' or 'const Type'
+        template<class Type>
+        static HashTable<Type*> lookupClassTypeImpl
+        (
+            const bool strict,  // Check with isType<Type>
+            const objectRegistry& list
         );
 
 
@@ -240,49 +251,69 @@ public:
         HashTable<wordHashSet> classes(const MatchPredicate& matchName) const;
 
 
-    // Sorted access
+    // List-wise access (unsorted)
 
-        //- Return sorted list of objects
+        //- Return unsorted list of objects with a class satisfying
+        //- \c isA\<Type\> or \c isType\<Type\> (with Strict)
         //  The lifetime of the returned content cannot exceed the parent!
-        UPtrList<const regIOobject> csorted() const;
+        template<class Type, bool Strict=false>
+        UPtrList<const Type> cobjects() const;
 
-        //- Return sorted list of objects
+        //- Return unsorted list of objects with a class satisfying
+        //- \c isA\<Type\> or \c isType\<Type\> (with Strict)
         //  The lifetime of the returned content cannot exceed the parent!
-        UPtrList<const regIOobject> sorted() const;
+        template<class Type, bool Strict=false>
+        UPtrList<Type> objects();
 
-        //- Return sorted list of objects
+        //- Return unsorted list of objects with a class satisfying
+        //- \c isA\<Type\> that also have a matching object name.
         //  The lifetime of the returned content cannot exceed the parent!
-        UPtrList<regIOobject> sorted();
-
-        //- Return sorted list of objects with a class satisfying \c isA\<Type\>
-        //  The lifetime of the returned content cannot exceed the parent!
-        template<class Type>
-        UPtrList<const Type> csorted() const;
-
-        //- Return sorted list of objects with a class satisfying \c isA\<Type\>
-        //  The lifetime of the returned content cannot exceed the parent!
-        template<class Type>
-        UPtrList<const Type> sorted() const;
-
-        //- Return sorted list of objects with a class satisfying \c isA\<Type\>
-        //  The lifetime of the returned content cannot exceed the parent!
-        template<class Type>
-        UPtrList<Type> sorted();
+        template<class Type, class MatchPredicate>
+        UPtrList<const Type> cobjects(const MatchPredicate& matchName) const;
 
         //- Return sorted list of objects with a class satisfying \c isA\<Type\>
         //- that also have a matching object name.
         //  The lifetime of the returned content cannot exceed the parent!
         template<class Type, class MatchPredicate>
+        UPtrList<Type> objects(const MatchPredicate& matchName);
+
+
+    // List-wise access (sorted)
+
+        //- Return sorted list of objects with a class satisfying
+        //- \c isA\<Type\> or \c isType\<Type\> (with Strict)
+        //  The lifetime of the returned content cannot exceed the parent!
+        template<class Type, bool Strict=false>
+        UPtrList<const Type> csorted() const;
+
+        //- Return sorted list of objects with a class satisfying
+        //- \c isA\<Type\> or \c isType\<Type\> (with Strict)
+        //  The lifetime of the returned content cannot exceed the parent!
+        template<class Type, bool Strict=false>
+        UPtrList<Type> sorted();
+
+        //- Return sorted list of objects
+        //  The lifetime of the returned content cannot exceed the parent!
+        UPtrList<const regIOobject> csorted() const
+        {
+            return csorted<regIOobject>();
+        }
+
+        //- Return sorted list of objects
+        //  The lifetime of the returned content cannot exceed the parent!
+        UPtrList<regIOobject> sorted()
+        {
+            return sorted<regIOobject>();
+        }
+
+        //- Return sorted list of objects with a class satisfying
+        //- \c isA\<Type\> that also have a matching object name.
+        //  The lifetime of the returned content cannot exceed the parent!
+        template<class Type, class MatchPredicate>
         UPtrList<const Type> csorted(const MatchPredicate& matchName) const;
 
-        //- Return sorted list of objects with a class satisfying \c isA\<Type\>
-        //- that also have a matching object name.
-        //  The lifetime of the returned content cannot exceed the parent!
-        template<class Type, class MatchPredicate>
-        UPtrList<const Type> sorted(const MatchPredicate& matchName) const;
-
-        //- Return sorted list of objects with a class satisfying \c isA\<Type\>
-        //- that also have a matching object name.
+        //- Return sorted list of objects with a class satisfying
+        //- \c isA\<Type\> that also have a matching object name.
         //  The lifetime of the returned content cannot exceed the parent!
         template<class Type, class MatchPredicate>
         UPtrList<Type> sorted(const MatchPredicate& matchName);
@@ -351,7 +382,7 @@ public:
             const MatchPredicate2& matchName
         ) const;
 
-        //- The unsorted names of objects with a class satisfying \c isA\<Type\>.
+        //- The unsorted names of objects with a class satisfying \c isA\<Type\>
         //
         //  \note If \a Type is \c void, no isA check is used (always true).
         template<class Type>
@@ -417,17 +448,27 @@ public:
         ) const;
 
 
-        //- Return all objects with a class satisfying \c isA\<Type\>
-        //
-        //  \param strict use \c isType\<Type\> instead of \c isA\<Type\>
-        template<class Type>
-        HashTable<const Type*> lookupClass(const bool strict = false) const;
+        //- Return all objects with a class satisfying
+        //- \c isA\<Type\> or \c isType\<Type\> (with Strict)
+        template<class Type, bool Strict=false>
+        HashTable<const Type*> lookupClass() const;
+
+        //- Return all objects with a class satisfying
+        //- \c isA\<Type\> or \c isType\<Type\> (with Strict)
+        template<class Type, bool Strict=false>
+        HashTable<Type*> lookupClass();
 
         //- Return all objects with a class satisfying \c isA\<Type\>
         //
         //  \param strict use \c isType\<Type\> instead of \c isA\<Type\>
         template<class Type>
-        HashTable<Type*> lookupClass(const bool strict = false);
+        HashTable<const Type*> lookupClass(const bool strict) const;
+
+        //- Return all objects with a class satisfying \c isA\<Type\>
+        //
+        //  \param strict use \c isType\<Type\> instead of \c isA\<Type\>
+        template<class Type>
+        HashTable<Type*> lookupClass(const bool strict);
 
         //- Return const pointer to the regIOobject.
         //
@@ -673,6 +714,32 @@ public:
         {
             return this->getObjectPtr<Type>(name, recursive);
         }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        template<class Type>
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const Type> sorted() const
+        {
+            return csorted<Type>();
+        }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const regIOobject> sorted() const
+        {
+            return csorted<regIOobject>();
+        }
+
+        //- Deprecated(2023-07) use csorted() method
+        //  \deprecated(2023-07) - use csorted() method
+        template<class Type, class MatchPredicate>
+        FOAM_DEPRECATED_FOR(2023-07, "csorted() method")
+        UPtrList<const Type> sorted(const MatchPredicate& matchName) const
+        {
+            return csorted<Type>(matchName);
+        }
 };
 
 
diff --git a/src/OpenFOAM/db/objectRegistry/objectRegistryTemplates.C b/src/OpenFOAM/db/objectRegistry/objectRegistryTemplates.C
index 9204516b5d..a03ebcd00c 100644
--- a/src/OpenFOAM/db/objectRegistry/objectRegistryTemplates.C
+++ b/src/OpenFOAM/db/objectRegistry/objectRegistryTemplates.C
@@ -184,13 +184,15 @@ Foam::wordList Foam::objectRegistry::namesTypeImpl
 }
 
 
-// Templated implementation for sorted()
+// Templated implementation for cobjects()/objects(), csorted()/sorted()
 template<class Type, class MatchPredicate>
 Foam::UPtrList<Type>
 Foam::objectRegistry::objectsTypeImpl
 (
+    const bool strict,
     const objectRegistry& list,
-    const MatchPredicate& matchName
+    const MatchPredicate& matchName,
+    const bool doSort
 )
 {
     typedef typename std::remove_cv<Type>::type BaseType;
@@ -200,9 +202,15 @@ Foam::objectRegistry::objectsTypeImpl
     label count = 0;
     forAllConstIters(list, iter)
     {
-        const BaseType* ptr = Foam::isA<BaseType>(*iter.val());
+        const regIOobject* obj = iter.val();
+        const BaseType* ptr = dynamic_cast<const BaseType*>(obj);
 
-        if (ptr && matchName(ptr->name()))
+        if
+        (
+            ptr
+         && (!strict || Foam::isType<BaseType>(*obj))
+         && matchName(ptr->name())
+        )
         {
             result.set(count, const_cast<BaseType*>(ptr));
             ++count;
@@ -211,7 +219,42 @@ Foam::objectRegistry::objectsTypeImpl
 
     result.resize(count);
 
-    Foam::sort(result, nameOp<Type>());  // Sort by object name()
+    if (doSort)
+    {
+        Foam::sort(result, nameOp<Type>());  // Sort by object name()
+    }
+
+    return result;
+}
+
+
+// Templated implementation for lookupClass()
+template<class Type>
+Foam::HashTable<Type*>
+Foam::objectRegistry::lookupClassTypeImpl
+(
+    const bool strict,
+    const objectRegistry& list
+)
+{
+    typedef typename std::remove_cv<Type>::type BaseType;
+
+    HashTable<Type*> result(list.capacity());
+
+    forAllConstIters(list, iter)
+    {
+        const regIOobject* obj = iter.val();
+        const BaseType* ptr = dynamic_cast<const BaseType*>(obj);
+
+        if
+        (
+            ptr
+         && (!strict || Foam::isType<BaseType>(*obj))
+        )
+        {
+            result.insert(obj->name(), const_cast<BaseType*>(ptr));
+        }
+    }
 
     return result;
 }
@@ -294,27 +337,71 @@ Foam::label Foam::objectRegistry::count
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
-template<class Type>
+template<class Type, bool Strict>
+Foam::UPtrList<const Type>
+Foam::objectRegistry::cobjects() const
+{
+    return objectsTypeImpl<const Type>
+    (
+        Strict, *this, predicates::always(), false  // doSort = false
+    );
+}
+
+
+template<class Type, bool Strict>
+Foam::UPtrList<Type>
+Foam::objectRegistry::objects()
+{
+    return objectsTypeImpl<Type>
+    (
+        Strict, *this, predicates::always(), false  // doSort = false
+    );
+}
+
+
+template<class Type, bool Strict>
 Foam::UPtrList<const Type>
 Foam::objectRegistry::csorted() const
 {
-    return objectsTypeImpl<const Type>(*this, predicates::always());
+    return objectsTypeImpl<const Type>
+    (
+        Strict, *this, predicates::always(), true  // doSort = true
+    );
 }
 
 
-template<class Type>
-Foam::UPtrList<const Type>
-Foam::objectRegistry::sorted() const
-{
-    return objectsTypeImpl<const Type>(*this, predicates::always());
-}
-
-
-template<class Type>
+template<class Type, bool Strict>
 Foam::UPtrList<Type>
 Foam::objectRegistry::sorted()
 {
-    return objectsTypeImpl<Type>(*this, predicates::always());
+    return objectsTypeImpl<Type>
+    (
+        Strict, *this, predicates::always(), true  // doSort = false
+    );
+}
+
+
+template<class Type, class MatchPredicate>
+Foam::UPtrList<const Type>
+Foam::objectRegistry::cobjects
+(
+    const MatchPredicate& matchName
+) const
+{
+    // doSort = false
+    return objectsTypeImpl<const Type>(false, *this, matchName, false);
+}
+
+
+template<class Type, class MatchPredicate>
+Foam::UPtrList<Type>
+Foam::objectRegistry::objects
+(
+    const MatchPredicate& matchName
+)
+{
+    // doSort = false
+    return objectsTypeImpl<Type>(false, *this, matchName, false);
 }
 
 
@@ -325,20 +412,10 @@ Foam::objectRegistry::csorted
     const MatchPredicate& matchName
 ) const
 {
-    return objectsTypeImpl<const Type>(*this, matchName);
+    return objectsTypeImpl<const Type>(false, *this, matchName, true);
 }
 
 
-template<class Type, class MatchPredicate>
-Foam::UPtrList<const Type>
-Foam::objectRegistry::sorted
-(
-    const MatchPredicate& matchName
-) const
-{
-    return objectsTypeImpl<const Type>(*this, matchName);
-}
-
 template<class Type, class MatchPredicate>
 Foam::UPtrList<Type>
 Foam::objectRegistry::sorted
@@ -346,7 +423,7 @@ Foam::objectRegistry::sorted
     const MatchPredicate& matchName
 )
 {
-    return objectsTypeImpl<Type>(*this, matchName);
+    return objectsTypeImpl<Type>(false, *this, matchName, true);
 }
 
 
@@ -428,30 +505,27 @@ Foam::wordList Foam::objectRegistry::sortedNames
 }
 
 
+template<class Type, bool Strict>
+Foam::HashTable<const Type*> Foam::objectRegistry::lookupClass() const
+{
+    return lookupClassTypeImpl<const Type>(Strict, *this);
+}
+
+
+template<class Type, bool Strict>
+Foam::HashTable<Type*> Foam::objectRegistry::lookupClass()
+{
+    return lookupClassTypeImpl<Type>(Strict, *this);
+}
+
+
 template<class Type>
 Foam::HashTable<const Type*> Foam::objectRegistry::lookupClass
 (
     const bool strict
 ) const
 {
-    HashTable<const Type*> objectsOfClass(size());
-
-    forAllConstIters(*this, iter)
-    {
-        const regIOobject* obj = iter.val();
-
-        if
-        (
-            strict
-          ? bool(Foam::isType<Type>(*obj))
-          : bool(Foam::isA<Type>(*obj))
-        )
-        {
-            objectsOfClass.insert(obj->name(), dynamic_cast<const Type*>(obj));
-        }
-    }
-
-    return objectsOfClass;
+    return lookupClassTypeImpl<const Type>(strict, *this);
 }
 
 
@@ -461,24 +535,7 @@ Foam::HashTable<Type*> Foam::objectRegistry::lookupClass
     const bool strict
 )
 {
-    HashTable<Type*> objectsOfClass(size());
-
-    forAllIters(*this, iter)
-    {
-        regIOobject* obj = iter.val();
-
-        if
-        (
-            strict
-          ? bool(Foam::isType<Type>(*obj))
-          : bool(Foam::isA<Type>(*obj))
-        )
-        {
-            objectsOfClass.insert(obj->name(), dynamic_cast<Type*>(obj));
-        }
-    }
-
-    return objectsOfClass;
+    return lookupClassTypeImpl<Type>(strict, *this);
 }
 
 
diff --git a/src/OpenFOAM/meshes/MeshObject/MeshObject.C b/src/OpenFOAM/meshes/MeshObject/MeshObject.C
index 6423b898c2..26bbf42e81 100644
--- a/src/OpenFOAM/meshes/MeshObject/MeshObject.C
+++ b/src/OpenFOAM/meshes/MeshObject/MeshObject.C
@@ -206,7 +206,7 @@ void Foam::meshObject::updateMesh(objectRegistry& obr, const mapPolyMesh& mpm)
 
     forAllIters(meshObjects, iter)
     {
-        // isA<MoveableMeshObject<Mesh>>
+        // isA<UpdateableMeshObject<Mesh>>
         auto* objectPtr = dynamic_cast<UpdateableMeshObject<Mesh>*>(*iter);
 
         if (objectPtr)
@@ -277,7 +277,7 @@ void Foam::meshObject::clearUpto(objectRegistry& obr)
 
     forAllIters(meshObjects, iter)
     {
-        // isA<ToType<Mesh>
+        // isA<ToType<Mesh>>
         auto* objectPtr = dynamic_cast<ToType<Mesh>*>(*iter);
 
         if (!objectPtr)