RWJ and others are able to use video clips because they fall under fair use. Fair use protects use of copyrighted material for things like commentary, search engines, criticism, news reporting, research, teaching, library archiving and scholarship, etc. The 4th critera for fair use is whether it affects the market for the original; obviously when RWJ makes a video, the original video gets a huge number of hits, actually increasing the popularity of it. Also, he's being transformative because he commentates over the videos, and could also be considered news reporting. Also, most of his videos are not of the videos, but of him talking.
Being in a network does not magically let you use copyrighted materials. People need to realize this.
Don't you get it, it DOESN'T MATTER what the company wants. If it's fair use, they can't do anything about it whether they like it or not.