Are you right-handed with left master eye, or vice-versa? Lots of people are. Shooting a handgun that way is easier than you might think. I recently wrote and illustrated how in this article.
For long guns, it makes more sense to simply shoot from the shoulder on the dominant eye side, whether rifle or shotgun. Hell, we may have been shooting long guns backward the whole time. Which hand supports the weight of the shotgun or rifle? Which hand works a pump gun’s slide? Which hand tracks a moving target or between multiple targets? Always the forward hand – so why are we assigning strength and dexterity functions to the weaker hand? Dominant hand forward will make the gun feel lighter. Yes, you’re running the trigger with the less dexterous hand…but that ain’t like threading a needle or something.