The FCC chair, in the unlikely circumstance that that charges for violating the constitution are bought and a conviction occurs, can be readily replaced with another of the same ilk. Changing nothing about the circumstances that find the US with an administration blatantly willing and prepared to go beyond the constitution.
The FCC chair isn't the cat that needs to be belled.
Why did anyone have to ask him? He spoke in his capacity as a government official, and he has the power to do what he threatened. That's sufficient to say "the government is suppressing free speech".
Did anyone ask the FCC chair to do this? Is it on record? Do you imagine the FCC chair to be cat that needs to be belled?