I clicked thru the video and listened to him. While I don't thikn what he said is intelligent at all, at best, what he said is "you have no right to spread misinformation".
That's different from calling for somebody to be censored. And even if he's technically incorrect to say that people don't have the right to spread misinformation, there certainly are limits on the first amendment that could cover this situation. For example, if Rogan said something super-duper irresponsible, like "Everybody should immediately inject pure bleach into their bloodstream. It will cure covid", that is in fairly strong grounds for the first amendment not applying/being restricted in this case.
That's different from calling for somebody to be censored. And even if he's technically incorrect to say that people don't have the right to spread misinformation, there certainly are limits on the first amendment that could cover this situation. For example, if Rogan said something super-duper irresponsible, like "Everybody should immediately inject pure bleach into their bloodstream. It will cure covid", that is in fairly strong grounds for the first amendment not applying/being restricted in this case.