Shot cross dominate for 35 yrs, left eye, right hand. For most of that time I didn't know or care about my dominate eye. But I can tell you that even though I was a pretty fair shot, it was never as well as I should have shot. If I was using sights and closing my left eye,I could shoot from as far as I wanted and get tight groups. Instinctive, well not too bad, but always wanted it to be better.
Turning point came after reading an article in TB by G Fred A, I knew it was time to switch. Sold most of the RH bows, bought a lefty and haven't looked back. Left eye and left hand for me now!