Back in the early 70's, when we first started shooting Combat Pistol, we shot mostly standard exercises. They were all par-time so that we would develop a time sense and be able to do amazing shooting feats in very short amounts of time. Since the score was all points, accuracy was paramount in the time we were given to shoot. Of course, our courses of fire included free-style, strong-hand and weak-hand strings of fire (back then they were 2-handed, right-handed & left-handed). What we learned has bearing on your confusion about your gun shooting to the left free-style. When shooting free-style, with both hands, we would hit the center of the target fine, but when shooting right-handed we would aim slightly right since the gun recoils away from the strongest point of contact with the hand so it would hit a bit left. Similarly, when shooting left-handed, we would aim a bit left and the bullets would print right in the center. I'm convinced your gun is, indeed, shooting to the left and when you shoot it left-handed it prints right on. If the gun shot to point of aim, when you would shoot it at the center of the target, I would expect it to shoot a bit to the right. I know it may sound confusing, but that's exactly what we experienced all the time, and we were shooting 1911 .45 ACP's.