drewit's advice and queries for you are sage.
Homer Kelley does suggest that Hitting is useful to stronger players (12-1-0). The stroke is a linear "drive" of the right arm. (Bulk up that tricep
)
He also suggests Swinging is useful to the more flexible player (12-2-0). It is a left arm "drag" motion. More spinning than linear. It avails itself of centrifugal force to bring the clubface to the ball.
I'm sure he meant them as guidelines, not as hard, fast rules.
Ever see a left side vs right side debate on another forum board? Kinda' moot with TGM. I'm a bare bones beginner to TGM and in traditional golf swing terms, could swing leftsided or rightsided. I could hit it farther using my left side, but was more accurate rightsided. (I am righthanded and play from the righthanded side).
I will begin as a Hitter as I feel that is my Basic Stroke Pattern. I believel I have better control and accuracy. You will have to decide what is right for you. But decide you should.
I'm sure you will get the guidance you need here, or in the hands of an Authorized TGM Instructor (AI).
Good luck to us all,
charlie