It seems like there is a ready solution here, have an LLM review and filter pull requests from unknown sources before you read them. My understanding is there are semi-reliable ways to detect AI writing, maybe there is an analog for code. In any case, you can filter according to criteria you set. Analysis and bug-finding is where LLMs shine, much more than their ability to generate code.
I can understand wanting to minimize your interaction with LLMs, so this might not be an attractive solution. But it seems like a worthwhile feature to have on the platform level for people who would like to continue to accept pull requests without the frustration.
"AI-detectors" are still probabilistic and none of them are exactly stellar. (No, even Pangram. It still screws up on the regular, very badly.) And some of that includes calling real people's writing "AI-generated", which isn't acceptable for this task.