It feels a little uncomfortable to act like I'm some sort of expert who can answer questions like this, but never mind - we are (almost) alone here anyway ...
Swingers use CF - and this should happen without much conscious effort. Hitters use muscular right arm thrust, so I would guess they have a more conscious feel for this - and doing it all at once.
It depends on how far you have come in your training. At first it is all conscious mechanics, but the goal is to let this become automatic feels (that reproduce the mechanics)... and when that happens it gets less conscious and more automatic, I would presume..
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