The screenshot says that Fox blocked the segments on copyright grounds. IF that is true … Fox has every right to do so, and this is not the same thing as YouTube blocking Fox.
One who thinks deeper than that would say why? Why now?
The answer is that Fox is still deepstate. They only allow Hannity and Tucker because that is what keeps them on top. They make a lot of money from those shows.
But what if you want to minimize the conservative message. What if you want to keep drawing in the money from the broadcast and yet you don’t want the message to go viral. Hannity is telling the world about the deepstate crimes. So Fox is self censoring in order to keep people in the dark who don’t watch the show. It fits right in with the social media censorship. It is all about controlling the minds of the populous.