No, the government is requesting something to be taken down. Short of the exceptions mentioned up above, the platforms are not obligated whatsoever to follow those requests.
My understanding is that there is already court precedent that the government can’t do this (use private companies to do their censorship even if it’s not strictly guaranteed to happen).
There is, even if the companies can refuse. The government cannot ask companies to censor something. This is a direct violation of the first amendment.
It's not the government doing the censorship if the private site can choose to refuse. In this case both were in cahoots, but that was (is?) Twitter's prerogative.