Almost any surgeon will push the operation. The good ones might not, it all depends.
I would think about how much longer you have left with him- if you are lucky, he'll live to 13 - 15 (on average). Would you rather spend the last few years recovering from surgery? Probably not, and with an older dog, I wouldn't. I'd give it some time, rest him, and then make decisions. I'd have a very hard time putting an 11.5 year old GSD through any major elective surgery. They've only got a couple years left (if that), I'd definitely give pain meds and keep him comfortable, but I'd opt out of surgery.
I had an older dog, I did CCL surgery, twice (he was 9-10) and the second surgery sent him into renal failure. He got over that, but then died from something else about a year later- if I could go back, I would never have done the surgeries, they probably weakened his immune system and sent the fungal disease he died from into his brain. I still regret those decisions, because he was a once-in-a-lifetime dog.
I know how stressful this is, but look into conservative treatment and braces, and don't rush into surgery.
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