How bizarre. You're the one who brought up that stat in the first place, I'm only pointing out that it's incorrect, at least for the UK - and the US isn't going to be very different. There's no base rate fallacy here because I'm not even building an argument on that data to begin with, you are!

"We have an enormous surgical backlog due to antivaxxers having filled up the hospitals for months on end."

You have a surgical backlog because your hospitals have been firing staff. Former "heros" who, quite sensibly, observed that as they'd already had COVID they didn't need a vaccine for it, and who were immediately demonized and excluded despite the hospitals supposedly being overwhelmed. You might want to meditate on that and consider whether that's the expected course of action during a crisis or not.