Maybe you are just exceptional. I was in an Ernest Langdon Advanced Pistol Skills class a couple of years ago. John Johnston (who was not shooting dots at the time) was in the class and mentioned to Ernest after another student besides myself shot real well on the mover while himself moving. Both John and Ernest agreed that you almost never see that and made that comment to the other student. He told them he couldn't do it with the dot, he had it off and was using the sights for that part. IME it is tougher to shoot while moving with the dot. Can it be done, sure. Can it be done well? With a lot of practice. Scott may have a different take on that, but in the lot of students I have seen with dot guns, it seems to be a common theme along with the initial slower up close.That's interesting to me. That was one of the things that stood out immediately to me, and also the three other guys I shoot with regularly, who run dots on handguns.
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