No, I think they would if it felt necessary, but Oscar is so much better with me it's shocking. He would be more stressed and almost unhandleable if he had to stay at the hospital. Plus, my boyfriend is a vet tech, so they're allowing us to do a lot at home that they would be doing there, like wound care, fluids, and saline flushes. (and I do appreciate the question, and understand where it's coming from - Oscar is getting the best care he can!)
He's feeling better today, and got up in bed to snuggle with me this morning. It's still requiring very close monitoring, and has been into the vet every day since Sunday morning, but it's looking hopeful. We're talking about the best action for the tail now, which is almost definitely going to require total amputation (like, maybe no stub even) but the tail that's left is healthy, it's just the skin surrounding it that is dead. We also obviously need him strong and healthy for further surgery, and while he's getting better every day, he's still not full power. So we'll see how things go this week - we're going back tomorrow morning for another check.