They should just start linking through the Wayback Machine.
Interesting concept, but Wayback is not always complete.
Perhaps the court should create an exemption to copyright, that allows the creation an internal copy (perhaps in image or pdf format) of the page for anti-link-rot protection.
I'm sure with clever wording they can manage to restrict this to lawyers and court proceedings, however:
I could make the case that it should apply universally.
After all, If you ever put up a page publicly on the net to content you were the rightful owner of, you have declared that version of that page to be a public document, and anyone should have the ability to make a static Image of that document. There are all sorts of copyright corner cases involved, but it is really no different than publishing your screed in the New York times or your local paper. There is no way to unpublish it, and no way to prevent it being archived.