I’ve never been a fan shimming. It might accomplish what you’re attempting to do but it is trying to bend the scope tube. In actuallity the tube might be too strong and the short distance between the rings doesn’t allow it to actually bend but I can’t confirm that.
Depending on what material the shim is made of, the clamping might not get the designed 360° clamping action for the width of the ring so that might mean the scope could move under recoil. On a PCP, at least to around .30 caliber, recoil is about negligible. On a springer, that would be a different story.
My Evol and Paradigm have something like 20 or 25 minutes on the pic rail so I had to use FX adjustable rings so I could get my zero where I wanted it. The downside, it raises the rings up some but my cheekpiece is adjustable so not a deal killer.
On one of my rifles I plink with I will occasionally shoot in the basement at about 9 meters. The POA and POI are off. And I can’t crank the elevation to correct it enough so I just leave it alone and I have targets I make where I draw a reticle for aiming and then a small circle above it that I know is the correct offset that the pellet lands in for observing a group.