So the images, video, etc isn’t cached here, it’s just text and links? Sites generally aren’t liable for what is on the other side of links, they just have to remove the link if they are notified by the copyright holder that it’s infringing their rights.
If they want to air on the safe side, as they appear to here, they can just auto-approve any takedown request. Just as robust a legal protection, while still allowing more content to be online.