This seems like a non-issue, or maybe I have the wrong expectations about writing. You write a text, ask Claude to proof-read it, but then you wholesale just copy Claudes output and use that as the final text? Wouldn't you review the changes it suggests and only take those you agree with, there by completely bypassing the watermarking?
Alternatively, you ask Claude to write the whole thing and proof read it yourself. In that case I'd like to know how much you'd need to change to break the watermarking, i.e. how much of a text would you need to change for it to be considered your work and not that of Claude?