A few inches is the difference between the sweet spot and a shank or even whiff. The difference between compression of the ball and hitting behind the ball. Inches are significant in the golf swing.
That said I think Jim Hardy was onto something when he said those that swing their arms upright (i.e. Watson) would benefit from some weight shift and consequent lateral head movement in the backswing (to give the arms enough time to swing down in the downswing) and those that swing their arms flatter (i.e. Hogan) should keep their weight centered and the head should not move.
As an aside I believe a really upright arm swing plane is less than ideal, but certainly works great for some.
Matt
Not to beat a dead horse... but chin position is a primary reason for that difference. A non-swiveled chin forces the body to move off center in order to complete a full turn with the upright arm swing. Those who swing their arms flatter don't have as much of a 'collision' with the shoulder/chin and/or lesser arm/shoulder turn, so it isn't as big a factor.
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