The video is not the only thing lost, however. Along with access to the video, YouTube disables access to all accompanying information: the title, tags, description, comments, related videos, response videos, ratings, and number of views. While S.512(c)(1) of the DMCA certainly compels the wise service provider to disable the allegedly infringing video, they could do so without ripping a node out of the network like a bandage from a hairy knee!
Imagine instead that the pages for disabled videos were rendered like this mockup: