Ctrl+click extrude from active element (as pivot)

Looking great

Yes, please. I miss this option.

Who know.. maybe is possible to do this by repeat action from API log, and run script as macro

blender.stackexchange.com/questions/54172/shortcut-to-execute-a-macro-or-script

rendereverything.com/blender-python-context-is-incorrect-solution/

blender.stackexchange.com/questions/23998/python-ctrlclick-for-buttons-capture-invocation-event

I think that blender need depth review of shorcuts and this type actions on object, edges, faces.