How is that a false statement?
Just as an example, the Trump admin pulled funding from research units that used the words "gender" or "climate change".
Yes, it was comically inept, but it was also legitimately harmful to free speech.
And how about ICE recording the faces of people who attend the no kings protests in order to antagonize them?
Trump being a censorship happy abuser of power in no way detracts from Obama and Biden being cut from the same cloth.
Obama or Biden did nothing even close