Really, Anthropic (and the other labs that follow) are just trying to satisfy the requirements of the law so they can continue to serve the EU. Wether it's actually effective is something else entirely.
Additionally, think of cases like paying a lawyer or an expert for an extensive report or opinion on something. Wouldn’t you want to know if that is actually their carefully assembled professional assessment rather than the output of an LLM prompt?
The people that make the laws and the people complaining about AI don't know or care about the reality of the situation nearly as much as they care about being re-elected and feeling good about their social posture.