I am left eye dominant and right handed. My bows are all right handed. I have been told I would shoot better with LH bows, I was also told keeping both eyes open, which I do, cancels out the problem. Some people say dominance can affect shooting even with both eyes open.
Seems to me like there are a lot of differences among shooters. And that the eye dominance question, and it's affect on accuracy is something that should be addressed. Finding a solution that works should be the goal. ( With the understanding that there is no universal solution).