Twisting in different directions on flips

Hello,

When I do a round off I put my left hand down first. When I do a back full I spin left also.

But when I do a front full I twist towards my right shoulder, is that the direction I should be twisting in?

Also when I try a back layout halftwist I feel more comfortable spinning towards my right.

Should I be doing something to correct my twisting direction?

Some people counter twist in the twisting direction of their RO. They may RO on their left side but they do a back layout full to their right.

This only becomes an issue when doing multiple twists and saltos towards higher level tumbling and release moves.