I'll really confuse it up.......
I shoot RH and am Left-eye dominant, but have shot a bow SOOOOO much RH that I have a dual dominance now. If I put a pistol in my left hand, my left eye is dominatn, if I put a pistol in my RH, my right eye seems to take over. I switched many years ago d/t a shoulder injury while playing HS Football, and have really IMO done quite well for a COMPLETELY Left-Handed guy learning to do something RH'd. Accumulating 13 RH'd over the years, 2 within 3 days using 2 separate bows, when I upgraded sights. The benefit for me is that my right eye also has just a little better vision, 70/20 vs. 90/20, so I've probably benefitted from that as well.