However, I golf as a right-hander and also play pool as a right hander. I find it very difficult to switch the other way.
Yet in baseball, I bat left-handed and yet cannot hit the ball at all batting right-handed.
Very strange.
It's a true rarity to find any MLB baseball player that throws left and bats right - a few pitchers is all - and all suck at batting.
Longtime ago I read something about this and recall that the brain doesn't process the approaching baseball quick enough.