I look at all those files the same way as IDE configuration cruft--it's workstation-specific configuration that shouldn't even go into source control. I would .gitignore all of those files. Is this not what is done in industry?
EDIT: Wow, thanks for all the replies. Very eye-opening to see what's happening outside of my hobby-experimentation with the technology. I was coming at it with the assumption that 1-2 out of 20 people on the team were using CLAUDE.md, so why have it in source control. But if all 20 people are using it, I can see the benefits. This reply chain has really opened my eyes, thank you HN.