I'm predominately right handed but absolutely left eye dominant.I did a very similar eye dominance test in the military,they do it to anyone who shoulders a rifle left handed.With a rifle/shotgun you'll definitely benefit from the left side provided you have the dexterity in your left hand.I shoot long guns and pool left handed but shoot pistols,darts,throw a ball,bowl and most everything else right handed.As for pistols I have always shot combat style......sights irrelevant.I choose pistols that feel like an extension of my arm so as I said sights are unnecessary.
Good luck
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