I did this with the very first versions of claude which didn't have a documented setting to turn it off, and kept it every since. It works with every single coding tool because it just looks for the same key word.
This is not just a hypothetical but a non-common workflow: I already wrote upstaged code change myself. I ask claude to review it, and if ok, commit and push.
At no point did claude author any of it, just a review. So a co-author statement is false.