I am right handed left eye dominant. I shoot long guns and pool left handed. That's all I do left handed. It started as a kid and never realized at a young age I was shooting off the "wrong" shoulder.I shoot right handed guns. It's only a factor when trying to shoot both eyes open. With a handgun the gun can ride under the dominant eye due to the position out front. I shoot handguns right handed with both eyes open.If the dominant eye is closed or a patch placed over the dominant eye then the sights is still on. I shoot bows right handed and look through the peep with my non dominant eye. It has never compromised my accuracy or ability to hit what I am aiming at. Where it affects folks is when they are new to shooting and trying to look across the gun with the dominant eye. With a scope,or peep it wont matter. With both eyes open it will affect accuracy on long guns that are shot off the opposite shoulder to the dominant eye.