hmm... pretty sure i do. although, i haven't really thought about it until today. so, if i didn't and i am the wrong eye dominant, does it affect anything? different with open sights v scope?
Won't effect much shooting with a scope, but you're slower than someone who shoots the same "handed" as their eye dominance because their hands/eyes work together better.
Shotgunning birds is where cross-dominance can be problematic. Closing your off-eye even if you're shooting with your dominant eye will slow you down, reduce your FOV (serious safety issue), and all but eliminate your depth perception making establishing a lead much more difficult.
You ever hunt birds with someone who's LIGHTNING fast and yet claims to be taking his/her time? Their feet, legs, core, arms, hands, and eyes are all in tune with each other. The eyes get the feet planted proper. The legs get the core moving to the right spot, the core gets the arms, shoulders, and head aimed properly, the eyes get the hands in the right spot so that when cheek-weld is established, the shooter just needs to engage the trigger. It's fast, fluid, and yet that shooter will swear up and down that they're taking their time with the shot despite having the bird headed for the ground before others have ID'd the bird as rooster from hen, grouse from hen pheasant, etc. That person is using 100% of their vision.
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SDMF has this to say about dominant eye.
Pass me a ghost-ring rear, you can keep your notch and BB. SO much easier to gun open sights w/both eyes open when gunning an aperture rear very close to your eyes vs. a notch well ahead of them.
Shooting with one eye closed is for people who didn't have a parent teach them to shoot the hand of their dominant eye or haven't learned not to eat their own boogers well into adulthood.
That does sound like something I'd say.