I think a lot of this has to do with the body trying to balance itself, plus the repetition of learned behavior ie throwing from that angle usually etc. And that simply with practice at for eg. keeping the right a bit more right when slipping throwing it, it'll come around eventually and straighten out and find its target.
As for the head movement deal, that's a broad subject and someone like Scrap will understand much better the details of oral stability and it's importance in the whole process.
I will say that I believe head movement means 2 things to me. One it means I need to have it be in the right place so as to capitalize on speed and power when on offense, maximizing balance for it.
And then it is all defense. And that is all about not having your head where a punch is about to land. And unless you're some sorta freak of natural anticipation, it comes with time served. Learning opponents tendencies...where to be, and more importantly...not to be.
Both offense and defense overlap, eh obviously.
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