This is just C2PA for Claude-processed files, apparently. It's not related to their text watermarking. C2PA is file metadata and can be trivially stripped away, unlike hidden watermarks, e.g. SynthID.
That is where their responsibility ends in terms of the EU AI Act. And that is fine and how it should be, no secret watermarks.
For the text from an LLM, that you verify to be as true as if you wrote it yourself.
Not clear if making watermarks removable is a may, shall, or should, according to legislation. It certainly is not a must.