For some reason, you believe the 1A and protections of freedom of speech means that private property owners should be required by law allow anyone to spew any garbage they want on their property, or else. It's because you have to believe that if some website isn't neutral to right wingers then the 'rights' of right wingers have been violated, but that's false. In a free society we are in fact not obligated to promote views with which we disagree, whether that's racism, anti-Semitism, ANTIFA, BLM, the LBTG agenda, pro or con, SSM, pro or con, abortion, pro or con, etc........... The 1A in fact protects us from being so obligated. It both prevents the government from censoring speech, and it prevents the government from compelling speech.
And no matter how many times you avoid the point, when the government says, like Texas does - carry the views of neo-Nazi pieces of shit, etc...., (their "content" is just as protected as yours is, under the 1A) or else, the government is compelling speech. It doesn't matter if the "or else" is to jail them, or to subject them to bankrupting lawsuits that wouldn't be possible if they DID carry the views of neo-Nazi scum.