IANAL, but I fail to see how fair use can be leveraged to give archive sites a right to host other site's content when that content is available publically und non-discriminatory, and there are eg. Creative Common license metadata tags for giving other sites explicit and specific permissions to re-host content. There are also concerns to be addressed under EU copyright reform (eg. preview of large portions of text from other sites without giving those other sites clicks).
If your point is that content creators can't technically or "jurisdictionally" stop archival sites from rehosting, then the logical consequence is that content creators need to look at DRM and similar draconic measures which I hope they rather aren't forced to do.