Trump threatens to 'close' down social media platforms

I think this is going to be a discussion thread that is almost inevitably going to be a shitshow, but anyway:

There are people who advocate the idea that private companies should be compelled to distribute hate speech, dangerously factually incorrect information and harassment under the concept that free speech is should be applied universally rather than just to government. I don't agree, I think it's a vast over-reach and almost unachievable to have both perfect free speech on these platforms and actually run them as a viable business.

But let's lay that aside, those people who make the argument claim to be adhering to an even stronger dedication to free speech. Surely, it's clear here that having the actual head of the US government threatening to shut down private companies for how they choose to manage their platforms is a far more disturbing and direct threat against free speech even in the narrowest sense.

I think it's even more concerning than that.

Threatening to shut down private companies -- not for limiting speech, not for refusing to distribute speech -- but for exercising their own right to free speech alongside the free speech of others (in this case the president).

There is no right to unchallenged or un-responded-to speech, regardless of how you interpret the right to free speech.

Attaching a disclaimer to the speech of another though is not straightforward. Will they get into the business of fact checking everyone over certain number of followers? Will they do it impartially world-wide? How can they even be impartial world wide given the different contradictory points of view, valid from both sides? Cyprus? What’s the take there?