“No, they are not obligated to provide access to everyone.”
Don’t be so certain of that. It depends on whether or not the internet and Google’s monopoly of it can be considered to be the “public square”. Jack Dorsey repeatedly referred to Twitter as the public square in his congressional testimony.
In 1947 the Supreme Court ruled in Marsh v. Alabama that a company could not forbid a Jehovah’s Witness from handing out literature in their public square, even though the entire town was owned by the company.
Google and Twitter do not have the right to censor their users, it’s “settled law”!
“Don’t be so certain of that. It depends on whether or not the internet and Google’s monopoly of it can be considered to be the “public square”.”
It’s only considered to be a public square if a court rules that it is, and no court has made that ruling yet, so legally, it is not. Perhaps that will change in the future, but for now they have no such obligation.