I am right handed, but left eye dominant and shoot a bow right-handed, and carried a 56-58X average on my indoor leagues (when I had a place to shoot indoors) I just have to keep my non shooting eye closed.
Ido most of my wing shooting with ashotgun left-handed, both eyes open just because it gives me a bigger field of view and somehow my right hand usualy ends up on the fore stock, yet I shoot just as well or a hair betterright-handed on the skeet or trap range.
My son is left handed, left eye dominant, But he shot his first 300 with a right handed bow on a league one winter long after he had been shooting left handed.
So I belive shooting with what is comfortable, outweighs one eye being slightly stronger as long as you can keep the dominant non shooting eye shut or covered up (some people cant wink).
However, I do see an advantage to shooting with both eyes open (dominant eye) if you are shooting instinctive or traditional.