I'm going to be getting a bow soon just for the fun of it, but I'm not sure what's recommended for dealing with cross-dominance in archery. I'm nominally right-handed but left eye dominant, but since I have decent dexterity with both hands/arms/shoulders I use my left side as my primary side when shooting (long guns on left shoulder, pistols in left hand) to take advantage of my natural eye dominance.
I've looked at a few dozen pictures of professional target archers aiming at full draw, and noticed that nearly all of them were shooting right-handed bows, but it also looked like a few of them were cross-dominant either because of the angle at which they tilted their head when aiming, or because they were closing their right eye when aiming.
Is following hand dominance recommended over eye dominance for new archers, or is just that right-handed bows are much more common than left-handed bows?