Cross eye dominance - my experience (should I shoot wrong handed?)

I'm LH and left eye dominant and have always shot everything with my right eye closed. Bows, rifles, shotguns, pistols......same for looking through a spotter. I've never had any issues with accuracy, even at long range. I can shoot rifles and handguns right handed as well, but then I close my left eye. When I try to shoot a bow with both eyes open, I see two targets and two sets of pins. I tried for an entire summer and couldn't do it.
How dominate do you feel your left eye is, and how is your vision in both eyes? I suspect some people are close to 50/50
 
Regarding archery, shouldn't eye dominance be considered one of many factors like pin size, peep size, anchor point, arrow length (for trad) that could affect accuracy but it's not an overwhelming factor that could doom you to a life of stray arrows? Some people can just shoot, some can't and practice does pay off.

I'm LH and left eye dominant and have always shot everything with my right eye closed. Bows, rifles, shotguns, pistols......same for looking through a spotter. I've never had any issues with accuracy, even at long range. I can shoot rifles and handguns right handed as well, but then I close my left eye. When I try to shoot a bow with both eyes open, I see two targets and two sets of pins. I tried for an entire summer and couldn't do it.
Bingo! If only one eye is open, it's your dominant eye.
 
Regarding archery, shouldn't eye dominance be considered one of many factors like pin size, peep size, anchor point, arrow length (for trad) that could affect accuracy but it's not an overwhelming factor that could doom you to a life of stray arrows? Some people can just shoot, some can't and practice does pay off.
I don't think so. The gear itself doesn't affect accuracy as long as those remain consistent. Humans are the variable that determines accuracy.

I think eye dominance has to do with parallax. Here's how google defines it when I search parallax eye dominance:
Parallax eye dominance
refers to how the brain prioritizes input from one eye (the dominant eye) to determine an object's precise position, accounting for the slight angle difference (parallax) between the eyes. While 2/3 of people are right-eye dominant, this preference dictates how, for example, golfers align putts or shooters aim. Understanding this helps correct optical illusions where targets appear shifted, commonly causing right-eye dominant players to aim left
 
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