Wow. Wow. There is so much going on here I don't even know where to begin.
1) To address the point about a 'horizontal velocity component.' We need to understand a few things. First of all, IF it were true that your moving the barrel imparted acceleration on the bullet laterally, it would produce a curve, not a straight line. The acceleration produced by gravity results in a curve, and acceleration laterally (wind drift, etc.) produces a curve as well. There is not a scenario where the bullet could move off the bore axis without moving in a curve.
Let's back up to basics here. A VELOCITY component does not impart a curve. An ACCELERATION (your word not mine) would. You've heard of vectors, right? What I have been saying is that if the muzzle is moving laterally when the bullet leaves it, the bullet will have an additional lateral component to it's velocity. It will not travel directly in line with the bore axis but will leave the muzzle at an angle as referenced to where the muzzle was and bore axis was pointing when it left.
It's pretty basic stuff. Sorry that there seems to be some desire to turn this into a pissing match.
As far as for the rest of your post I found it helpful, thank you. Regarding #4 I am seeing the wobble in the crosshairs on the target. I don't see how it could in reality be any more or less.
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