Originally Posted by Bobby Jr
A lot is to do with human physiology. Your palm is the more sensitive side to your hand and, comparably, so are inner rotation and gripping movements. By that I mean humans are much more used to (over millions of years of evolution) performing motions which require dexterity, strength and hand-eye coordination in that way as opposed to outward/backward motions.
Similarly, eye dominance plays a part in this whole process. Most people are considerably more dominant in one eye than the other - generally the same side as the dominant hand.
Sounds good to me.
Right handed people tend to hit baseballs from the right side of the plate. So, there is something to your theory that you want your dominant side palm doing most of the work.