There are so many variables and misunderstood terms these days that I have to ask. When you say "modified Weaver"... is your strong elbow locked or bent?
If it's locked, I can see the potential for additional injury to an already damaged shoulder. If your elbow is not locked, and recoil is being absorbed primarily by the forearm muscles and elbow joints... I can't see how you could (directly) aggravate the shoulder.
Have you had serious injuries to your strong shoulder in the past?
C