> They just can't legally stop you by, for instance, compelling a judge to order you to stop.

They probably can, actually. TOS are legally binding.

More likely they would block you rather than pursuing legal avenues but they certainly could.

The Supreme Court already ruled on this. Scraping public data, or data that you are authorized to access, is not a violation of the Computer Fraud and Abuse Act.

Now, if you try to get around attempts to block your access, then yes you could be in legal trouble. But that's not what is happening here. These are people/companies that have Claude accounts in good standing and are authorized by Anthropic to access the data.

Nobody is saying that Anthropic can't just block them though, and they are certainly trying.