I'm not saying you don't (or do) have a rotator cuff problem. I'm just suggesting that it's such a small part of a huge movement system and that you should look at it as such and try not to compartmentalize it as a singular issue. To say that the shoulder is complicated is a vast understatement, and I'm very, very, very wary of ascribing such a simple cause to a complex problem.
You won't get an argument from me.
AFAIK I have no tear or "injury" that can be identified. The chiropractor found that ART on my infraspinatus and teres minor made things feel better, and suggested simply that I do light weight slow reps high volume general shoulder stuff. This has made me feel dramatically better.
I wonder if the rotator cuff is the "entry point" where people begin to understand how complex the shoulder is and how much specific work it needs if you want to bench those heavy plates safely. That seems to be how it is working out for me.