I couldn’t say that any change in muzzle device has no effect but I can tell you what the load is certainly plays a role.
My “minor” 9mm loads using 147gn bullets with very fast powders, won’t work the compensator much even in an open pistol but they already have low felt recoil/muzzle rise. 9mm major loads, using light bullets and slower powders, will keep a comped gun flat with a lot of blast though.
That said, your talking about a 9mm in a rifle, it’s not like it’s knocking you off your feet.
Most of the movement is from the reciprocating mass, lock your bolt back and aim at your intended target, hold that aim and drop the bolt. How far did it move from POA?