DLS wrote:
So I'm guessing the point is that muzzle movement can cause less problem at longer range ... depending on how the movement manifests itself.
That's wrong.
It doesn't matter what type of movement you put on the muzzle, it will increase how far away the shot lands with distance. Draw a couple of lines like this, <, and you'll see what i'm on about. The further away you are from the pivot point the bigger the gap between the lines (center of the target and bullet hole).
Now if by chance you can keep the sights aligned and in the aiming area while jumping up and down, you can even shoot a ten. But if you do it's not a shot that you probably can repeat. He all had bad shot executions that turn out a 10 or even an X, but we should know that it was just luck that made it land in the 10 ring and not in the 4 or 5 ring.
The point is that any movement in the gun has as a pivoting point your shoulder, elbow, wrist, or grip, so a inch of movement in the muzzle will put the shot off target at 50 meters (or practically any other distance).
Hope this helps