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.
There's is no text watermarking that doesn't cause a decline in writing quality.
Writing quality will surely deteriorate if text watermarking is implemented.
Stripping Anthropic's watermarking, however, is more difficult - probably about 2 prompts.
The law should have at the very least required offline validation tools that cannot track or retain a copy of the documents being checked.
As soon as the validator is available without a rate-limit, just apply input fuzzing to defeat it.
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.