Nearly all the discussion I see of people trying to extend/improve their range focuses on reaching higher notes with the chest (or mixed) voice, pushing your chest voice into higher notes.
What about extending your head voice downwards? Is being able to sing low notes in your head voice a useful skill in itself? Does practising this in various exercises have benefits to your singing in general?
I mean specifically singing notes in your head voice in singing exercises which you would naturally sing in chest voice - does this have benefits?