You want the government funding Twitter's operations?
Incidentally, you can definitely get banned from public university campuses for misbehaving.
Misbehaving != alternative opinion.
Public universities have additional restrictions because they are organs of the state. Twitter is very definitively not in that category.
If a utility company is privately owned and it's denying service because you have 'different opinion about utility prices' thus threatening your life will you stand it?
No, we're not. Trump's tweets are still there. He retains the ability to post. All Twitter did was exercise their own free speech by adding a note below it.
Also I was not talking about the link being left, I was talking about your account terminated.
It may be good to raise the issue how much power social media should have, but please don't conflate the issue with personal vendettas of some public figures, or too much toleration of relativistic alternative facts.
I was specifically talking about this issue and it's the commentators that went to "personal vendettas or introduction of relativistic alternative facts."
The intent of the 1st Amendment applies most strongly to political and religious views. Liberals love it when the 1st Amendment is used to defend communism, terrorists, or profane art. If Communists and Antifa were being squashed by Twitter, they'd be playing victim.
This is entirely and old thing. Every private company runs on publicly funded infrastructure. Roads, sewers, etc...
There is no applicability of the First Amendment with respect to what a private company may censor. This is why Trump may talk about "freedom" but his executive order will not be grounded on any First Amendment claim.
Rather, Trump will essentially force the interpretation that CDA 230 should only apply to "politically neutral" actors. The result will be that social media companies will not be able to "censor" content that might be political. Again, not because of the Bill of Rights but because the liability shield provided by CDA 230.
The practical result will be that all content that is not clearly illegal (and potentially content that is) will be fair game and unable to be censored as any censorship will risk a claim against political neutrality and jeopardize CDA 230 protection.
The church tried Galilei for spreading fake news and misinformation in 1600s. We now know how dangerous shutting people up by force is.