I used to do this many years ago
I also used to see my hw80 slide the scope out if the mounts in the summer.
once I joined a club the error of my ways was pointed out from the clubs learned secretary and gunsmith
I forget how many new members guns suffering accuracy problems I have seen him take the scope off whilst mumbling "lets get that c**p out of there for a start " out comes his craft knife. this is then scraped off and cleaned with isopropyl. Rings back on with a couple of folds of tin foil in the rear. Job done.The scopes then dont come off until the shooter outgrows it.
As the tape warms it will allow the scope to shift - a pice of tape absorbs none of the energy from recoil (which I guess your trying to insulate it from.
metal to metal contact is best. No zero shift in hot conditions - true you will get marks from the rings but as long as your not crimping the scope its not going to affect resale value.
the only way to dampen the scope that I know of is the dampa mount made by sportsmatch ut this works using rubber bushes under the rings.
Hope this helps
John
p.s will be interesting to see what others do.
i