Chinese domestic media threatens to nuke US just any godly day, but saying that, you should also know that quite a number of Chinese media personas were sacked for wrong gestures towards the West in their English language medias, and their military bamboozlers were few times sent to jail over unauthorised threats to USA made in small, nobody known military newspapers.
I heard once that 50 centers were at some point prohibited to do anything English language, to avoid Western ire.
Though, it seems to become much less of a case today.