The US government coming in and telling a private entity, no you must tolerate free speech on your property is historical fact and precedent.
There is a lawsuit where a company owned this mining company town, including all of its roads and sidewalks. A Jehovah's witness won a lawsuit on the basis of the First Amendment, enabling her to walk about that town and distribute her pamphlets.
https://www.youtube.com/watch?v=lBozijndSLc
Originally, it was once widely recognized by US jurisprudence, though property rights and freedom of association are important, the First Amendment was even more important and trumps property rights.
Surprisingly few people care if a den of hate speech has trouble finding a DNS registrar.
Surprisingly few people cared when the US government carted off my bandmate's parents to concentration camps. That's a very poor metric to apply to a principle of rights and justice.