The sites that are most valuable to preserve are likely the same ones that are most likely to put up barriers to archiving

Perhaps the AI slop isn't worth preserving, but the unarchivability of news and other useful content has implications for future public discourse, historians, legal matters and who knows what else.

In the past libraries used to preserve copies of various newspapers, including on microfiche, so it was not quite feasible to make history vanish. With print no longer out there, the modern historical record becomes spotty if websites cannot be archived.

Perhaps there needs to be a fair-use exception or even a (god forbid!) legal requirement to allow archivability? If a website is open to the public, shouldn't it be archivable?