Try Ctrl+Tab. It's built into Blender since 2019. You can also change it to be just Tab in the (Blender core) keymap preferences.
Does what it's supposed to, but please register the operator with the {'UNDO'} option. Otherwise, objects will keep their place after undoing the distribution, up until the last time their location was changed.
Done! Thanks!
Did the mode pie menu for armatures just get wiped? Tab only switches between object and pose. Am I missing something??