If the barrel is always in the same position when the shot leaves then on target you will see vertical dispersion that precisely matches the variation in muzzle velocity. The post I'm referring to is the one you just shared on accurateshooter. Stowaway shared an animation showing barrel movement and shots leaving at the top of a sine wave representing a node in its movement cycle.
Many people having an incorrect view doesn't make their incorrect view correct. This is a very simple physics problem, and the physics dictates that you will get the best results, the least amount of vertical, when the shots leave during a barrel upswing, not when it is near static. As we've already discussed at great length on previous occasions, including sharing the math with you multiple times, including earlier in this thread where I gave you the math for a few distances.
The fact that tons of shooters think you'll get the best results if shots leave when the barrel comes to a node in its movement cycle doesn't mean they are correct. Lots of people thinking something doesn't make that something correct. You need more than consensus based on nothing. You also need theory and evidence. And there's a ton of evidence holding up the theory of physics. And the "stopped muzzle" theory isn't supported by physics. The "stopped muzzle" theory directly violates physics. It can therefore be discarded as being incorrect. The positive compensation theory relies on physics to work. Failing to understand anything involved in that is not reason for it to be discarded. If one understands everything involved with that theory it is difficult to come to any other conclusion than "This is what is actually happening." And that understanding is also what dispels the "stopped muzzle" theory.
As I said with my 10-metre-diameter barrel illustration earlier, if the barrel cannot move at all you will get vertical POIs that directly relate to muzzle velocity. That 10-metre-diameter barrel idea is no different than the "stopped muzzle" idea. Both involve the barrel being in the same position as shots leave. And both would result in vertical at the target being directly related to muzzle velocity. With positive compensation you can have two shots with differing muzzle velocities go through the same hole because they have differing launch angles. With the insanely large barrel or the stopped muzzle theory you cannot have two shots with different muzzle velocities go through the same hole because they have the same launch angles. And when you have the same launch angles the POI is directly tied to the muzzle velocity. A higher velocity will hit higher and a lower velocity will hit lower. You cannot have a 1050 fps shot and a 1085 fps shot go through the same hole with the insanely large barrel or the stopped muzzle. Physics dictates that to be an impossibility. There's no question about it. There's no discussion. There's no debate. Physics literally says that cannot happen in those circumstances. It is physically impossible. The only way for a 1050 fps shot and a 1085 fps shot to go through the same hole is if their launch angles differ by a certain amount. And
back on page 2 in post #26 I showed the calculations that show what those launch angles are for 50 yards, and 100 yards, and 200 yards. Those differences in launch angle cease to exist in the case of the insanely large barrel or the case of the stopped muzzle. And that then means that those two shots will no longer go through the same hole. They instead will hit the target with quite different elevations due to their differing velocities. The fact that many people have trouble understanding that doesn't change that. It is still true even if someone doesn't understand it. The laws of physics still need to be obeyed even if someone doesn't understand physics.