At some point, changing pitch will cause a gun to recoil differently. It changes the pivot point.
I agree with those above that the proper pitch is what fits and puts the whole butt of the gun in contact with the shooting shoulder pocket. But, that should be the neutral starting point (and yes it is usually 2 to 3 inches). Slight adjustments from there can be quite effective at taming recoil in some guns.
And, the best way to find that point is as suggested above by using thin shims under the top or bottom of the butt plate or pad to adjust the pitch and shoot it. Shoot it often with a low mount. You can easily feel the difference. When it is right, cut the wood.
Anyway, that's my .02.
Jake