That would be fine if Claude was open source and/or unpaid

If you read the fine print of most commercial software you'll see some language to a similar effect. When's the last time Microsoft got sued due to an outage caused by a bug in Windows?

That's actually meaningless in Europe under the Cyber Resiliency Act by the way. They are liable even if they say they aren't.

Yes, the fine print.

Only this so-called "AI" needs it full size on the front page.

I would consider that more honest than more of a problem.