[tongzilla]

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This is true. Most, if not all, tour players have a slight swivel of the head near the TOP or END of their backswing. The head does not necessarily move laterally, but TURNS(rotates) slightly to the right.

Someone that is very RIGHT EYE DOMINANT may have problems with this. What do you think?

I am assuming this "problem" you are talking about has to do with alignment. If so, I don't think it's a problem as long as the golfer is looking directly at the ball (as oppose to gazing downwards, i.e "looking down your nose"). He is then able to see a straight line perpendicular to the leading edge of clubface to the target.