In my days as a PhD candidate in clinical psychology, a pursuit I long since left, I used to do research on the structure of the brain, mostly in schizophrenics and manic-depressives, but also differences in righties and lefties and men and women. Left-handers who are right brain dominant tend to be about 10% of the population. There are more than twice (maybe three times) as many lefties in architecture as the general population, no doubt in golf architecture as well. Their brains use different processing techniques. The right brain is typically more creative, artistic, better with spacial orientations, and holistic processing. Left brain dominants (typically right handers) process analytically and are generally higher functioning in logic and mathmatical skills. It makes a great deal of sense that those that process and think in ways that are beneficial to endeavors requiring these skills will be drawn to such careers.
It also helps in baseball as you are closer to first and face more right handed pitchers.