I believe that Watchtower, trying to fight against the internet, is demonstrating that the leaders realize the religion extremely vulnerable. They know, in my opinion, that they don't have the *truth* and are merely trying to survive as a viable religion.
Taking down Youtubes and other information is a losing battle for them, but they would lose faster if they didn't do it. The JW speaker in the video is arguing against such behavior, but that is typical of Jehovah's Witness double talk - say one thing for public effect, then do the opposite.