So you mean that the barrel "wave" is the same regardless of the bullet weight/type? Interesting. I was thinking that the wave of the barrel has a different amplitude if the bullet is heavier, because the peak of the pressure will be different (higher on the case of a heavier bullet).
The barrel wave, is not really a wave. It is more a waggle like a fishing rod waggles, especially when you have a weight near the end of it. When the primer fires and ignites the powder, it starts a waggle of the whole gun, but in particular the barrel. The frequency of the waggle is determined by the barrel length, weight, contour, and to a lesser degree how it is bedded in the stock. Has very little to do with the bullet weight. Varmint Al claims that in a centerfire the bullet exits before a full natural harmonic wave is set up. The initial waggle is a forced response to the powder charge and recoil.
What is of critical importance is the direction of the barrel muzzle when the bullet exits. You can control that with velocity.
You can see some graphics at Varmint Al's site.