Nothing says they can't contact papers.
The government routinely speaks to news papers about the government opinion on articles and how they are wrong. That's not censorship. Holding a figurative pistol to someones head and say "change this line" is censoring and supressing free speech.
The Twitter Files already has a statement from a Congressperson that Twitter's actions with the Hunter laptop will "result in a blood bath" during Congressional hearings.
If the 800 lb gorilla that is the US government is threatening a "blood bath", do you really have a choice when they ask for your "cooperation"?