A bit of my "shoulder story" here - take it for what one person's experiences are worth to you.
I have been diagnosed with a torn labrum in my good shoulder, and am pretty sure that, plus other things, are also in my bad shoulder. Doctors have also given me a diagnosis of "severe arthritis" in both shoulders. I've never had shoulder surgery and have no plans to, either.
At the time of my torn labrum diagnosis, I was suffering from overuse injuries to both shoulders - poor planning of my training and less than perfect form on the many kettlebell presses and weighted pullups I was doing at the time. I elected not to have the surgery because I first wanted to heal from the overuse injuries and see where I was, and more than one person I trust said that a torn labrum doesn't necessarily require surgery - some of that depends on what you plan to do with your shoulders.
My point in sharing this story is to say that, while I was in the same boat as many here in that my recovery took a long time, the legal phrase "proximate cause" comes to mind - which is to say that my torn labrum wasn't why my shoulders hurt, and that's the point. It can be good to try to sort all this stuff out when you're injured. What's not in great shape may not be the cause of your current pain and/or dysfunction. Post hoc ergo propter hoc and all that. I'm deadlifting, bench pressing, squatting (and setting state powerlifting records as I go), swinging kettlebells, doing pullups and skin-the-cats on the rings, and I'm even learning the Olympic lifts now. I am, no doubt, more careful with my shoulders than many, but not being able to be carefree with one's body is something that I think, for most of us, comes with age sooner or later, and I'm happy to pay the price of being mindful of what I'm doing for the privilege of avoiding surgery.
Strength fixes _so_many_ things. It's not just that I pay attention to my form or that I'm more careful not to overtrain, it's my foundation of strength on which I build what I can do today, in my late 60's, and on which I plan to continue to build in the future.
-S-