The opposite is true.
The Constitution's protection of individual citizen free speech very specifically is a restriction on the government (and its officials acting in government capacity, which is how the government speaks) from acting to limit the speech of citizens under most circumstances.
Which is exactly the case in question.
This is how Constitutional protections work. They limit the capacity of the government and its officials in order to protect the Rights of individual citizens.
Case law has long held that even the politest censorship request by the government is viewed as threat of force.
The propaganda around this issue is weak to the point of being insulting.
