If this is not the case you should not be sending it to public repos for review at all. It is rude and insulting to expect the people maintaining these repos to review code that nobody bothered to read.
The difference here is that the generator is a non-deterministic LLM and you can't reason about its output the same way.
How about compiler?
AI and humans are not the same as authors of PRs. As an obvious example: one of the important functions of the PR process is to teach the writer about how to code in this project but LLMs fundamentally don't learn the same way as humans so there's a meaningful difference in context between humans and AIs.
If a human takes the care to really understand and assume authorship of the PR then it's not really an issue (and if they do, they could easily modify the Claude messages to remove "generated by Claude" notes manually) but instead it seems that Claude is just hiding relevant context from the reviewer. PRs without relevant context are always frustrating.
I use good ol' C-x M-c M-butterfly.