doubleD
You're right, it will throw the rings out of alignment which, in turn, will stress the scope tube. You can remedy this by lapping the rings back into alignment but by the time you're finished you will probably wish you had simply bought a tapered base. A few years ago when tapered bases were very expensive, lapping the rings was cost effective but today it's a different story with reasonably priced bases ($25 - $30) available from several sources.
You can also use the Burris rings with the plastic inserts (assuming they fit your bases) but they will cost you about $35 to $40 so you pay one way or the other.
[ 11-21-2004: Message edited by: Cheechako ]
[ 11-21-2004: Message edited by: Cheechako ]