I'm right handed,,left eye dominant.
I shoot all right handed.
The left eye dominant/right handed situation seems to have come along in last ten years or so. Maybe a Golden Years thing...
I shoot rifles and handguns with my left eye closed and have always done so. It's just an automatic reflex. That's the way I was taught.
But, when shooting a shotgun for some reason, I want to shoot with both eyes open and my left eye takes over of course.
I'm then looking along side the left side of the shotgun & shotgun barrel. That makes me take extremely poor leads at crossing shots especially.
I can 'make' myself close the left eye just prior to pointing and shooting and after a while it naturally takes over and I don't have to think about doing it. But later on it comes back again.
A patch or blinder on the left side would work but I tried those and didn't like 'em. So I'll suffer with the consequences of a few missed targets and call it a decent day
Recently I was seeing double, so it really didn't matter too much about the dominant eye thing