I know some bodybuilders take a month or two off. Then again I think this has more to do with giving their body a break from steroids than giving their body a break from training. Taking a week off from time to time is a good thing. I use to do it all the time year after year. I think as I got older and more scared of looking like crap I train week after week, month after month and year after year with rarely a break. Very foolish on my part.
I take pride in my appearance to the point of hurting my body. Proof of this is tomorrow I go for an MRI that will determine if my shoulder gets operated on. I know if that happens I won't be lifting for 4 to 6 months. I will look like crap and hating life. 
The MRI won't determine if your shoulder gets operated on...YOU will make that decision.
You might find that if you just stop beating yourself into the ground your shoulder would feel better. Duh.
If you stop hitting yourself in the head with a hammer you will feel better.Stop training the shoulder for a couple weeks or a month or two months and see how it feels. If it feels better then modify your training.
Face reality. You are 61 not 21. 40 years older!
Your body is telling you that the way you are currently training is hurting it.
Excessive running, hitting the heavy bag, heavy weights, etc.
You made a recent post that after training your shoulder was screaming in pain. Now what does that tell you?
Why would you train your shoulder to that point?
Your training methods are injurious. You are causing injury. For what?
The idea that by hurting your body you will make it last longer makes no sense. The opposite will be the result.
You are willing to have surgery, go through a lengthy convalescence and rehab but you are not willing to simply take time away from training your shoulders to allow your body to recover naturally.
Time to listen to your body.