Have you thought of adding grippy tape to the butt?
The SKP butt you linked to is really a Smallbore butt. The heel and toe wings will fold around the shoulder more than allowed for 10m AR. It's also heavy; that's not a problem for NSRA 0.22 shooting, but could tip your air rifle overweight.
If the weight at the muzzle is tipping the rifle out of your shoulder, is there too much? The extra weight may slow the muzzle, but is that worth a wobbly butt?