How old are you?
I would say that for years I mostly climbed injury-free. Oh, I would get injured, but I would always go to a trusted PT right away, take time off (if instructed), and religiously follow the rehab protocols. So when I healed, I healed fully, and then climbed without any nagging party-healed problems. Until the next injury, that is.
But eventually you get injured in such a way that “full recovery” isn’t possible. Your broken ankle will always be just a touch stiffer or less mobile than the unbroken one, your one shoulder a touch wonky, your finger slightly crooked, the knuckle slightly swollen, etc.etc.
And then you learn to live and climb with those. I now have my share of them.
IMO this is fundamentally no different than getting old in general. Nobody who dies of old age dies with all their body parts in perfect working order.