Claude and ChatGPT are user agents. For obvious reasons, they serve the user, not the websites' owners. (Also, if you don't want people to be able to access some information, then don't put it online.)
> if you don't want people to be able to access some information
Claude and ChatGPT are not people
My point is that they're not serving the user in that case, since they're taking actions that bypass site terms without consulting the user. And for example, if the site forbids scraping, that attempted block bypass can get the user banned without ever seeing any warnings.