Cross Eye Dominance

[MW]

I would think some of the answer would be predicated on what style of aim the person is trying to employ.  If instinctive it shouldn't matter. If it is truly like throwing a ball there are many pitchers whos dominate eye does not match their throwing arm but they can throw with accuracy.  Any other where you are "lining up" two points it may have a greater impact.

Just my two cents...

[Pat B]

When shooting instinctively eye dominance doesn't matter. Just look where the arrow will go(the spot), draw and release. Your brain will do the rest if you have practiced enough. In normal hunting range knowing the distance doesn't matter either.

[TSHOOTER]

[YosemiteSam]

My wife and my oldest son are RH with left eye dominance.  They both shoot left handed.  Gapping is an easier way to learn to shoot but that only works when you're using the correct sight picture.

Echoing McDave, at some point, archers can benefit from learning how to shoot with both hands.  It's fun and a good challenge.

[Bowguy67]

I instruct myself and what we call cross eye dominant is not the opposite hand.
It's when the eyes switch readings meaning there isn't a true dominant eye taking over.
Dominant eye is always better because that's where you are looking naturally.
If things aren't instinctive they're way worse.
My sampling isn't huge but a few hundred students a year in various formats may be bigger than yours. Hope this helps and Pm me if you like and I can say more.
Not sure what's allowed on here I don't post much and don't want to break rules