Constitution guarantees courts for arbitration for contrat laws. Twitter/Youtube has terms of service and makes a written contract with the users. They spell out what is and isn't allowed like advocating for violence.
When those terms are not broken people were removed anyway obviously for political reasons. But Twitter/YouTube at least has to claim and pretend like no this was hate speech or whatever, otherwise they are violating their contract.
All 50 states also have constituions for civil rights guaranteeing equality under the law regardless of race sex or creed and being a private company doesn't supercede that, unless and without that being part of a contract.
Saying things they dont like politically isn't in the user agreement and also isn't in violation of the law. Thus they are violating contract law and the constitution because they dont allow arbitration.
Any other private business that fired you over nothing could be taken to court and a third party will be the arbitar and judge the dispute along the lines of the written contract. With social media there is no court, they can fire you without cause and then police themselves by saying the trust & safety board made a decision.
That isn't how the US is supposed to operate. Bill of Rights guarantees free speech limited only by laws about obscenity, defamation and copyright violations. If a private company wants to remove you for not being a shitlib, then that has to be included in the wtitten agreement.
Also ppl who feel like they were removed for hate speech who did not do any hate speech are supposed to have a third party do arbitration not the board from the company that fired them.
Mike