You run a business and have millions of high paying customers. Someone happens to use your brand to market things and create harm for the society. Legally, you may be clean. But, your first line of defense is not "it is not my problem".

Yeah, but every now and then someone working for Anthropic tweets something, everyone quotes it as gospel, but there's no official statement anywhere on their website. They have the worst communication ever, it's one of the things I like the least about Anthropic.

It’s strictly speaking not their responsibility, but it is something that they should do if they want to help their customers.

In general, they need to make a really big post somewhere that’s not a HN comment that this was in fact a compromise of the Cursor marketplace, not an employee’s machine, because they’re getting a lot of (unjustified) bad PR.

They're not obligated to. I'm not obligated to be a customer.

No but their no doubt highly paid lawyers should have sought relief from their trademark being infringed, and demanded the extension was pulled long ago.