An author can tell anyone that. And as long as they still control the rights to their work, they can enforce it. Should you sign your rights over to a publisher, then that becomes the publisher's prerogative, not yours.
The consensus and case law surrounding traditional libraries. Is that libraries generally still bought physical copies. Even in the age of the e-book today. They still play by publisher rules of artificial scarcity and limited lending. Only lending out for a limited period, the number of licenses they purchased from the publisher.
The Internet archive however, allows everyone to infinitely duplicate items in the archive. Which is great for retention. But as a business model, it sucks. I support the archives mission. But is the archive supporting any of those they archive? And while generally invaluable in a good way. They don't offer a way to be forgotten for those that do want to be forgotten. Then again neither do most major internet focused entities. Reddit etc undeleting comments their authors deleted for instance.