My shooting style is exactly the opposite. I am right eyed and left handed. but I learned to shoot everything from the right side, so I don't know any difference. but there is a difference when shooting a handgun, as I hold it in my left hand and use my right eye to aim. I often keep both eyes open for all types of shooting, but my right eye is so dominant that doesn't interfere. Even though my left side is by far the more powerful, and I shoot moderately heavy traditional and primitive bows, up to 100 pounds at 32", there is no way I can draw those bows with my left side. Over the coarse of a lifetime, my body shoots right handed, in spite of definite lefthandedness.