not picking, just a fun fact here, since rifles is what i used to do..........alot of your top benchrest shooters shoot with BOTH eyes open. of course only one eye is looking in the scope.
What if you don't have perfect vision and you were to correct your dominant eye to 20/20 and your non-dominant eye to 20/30? Then as long as the shot looks clear, you should have the proper eye over the shot. It might be useful for teaching your body a proper stance.