You're oversimplifying this as well as constructing a strawman argument which implies it's a simple issue. It's not. You are on Hacker News, do you think people here are think that the framing you make is objectively the singular one that has any moral standing?
I see. So if, for example, the phone company were to spy on your private conversations, and determine you are not a person they want to be associated with (say for example, you talk trash about their CEO) - if they were to terminate your phone coverage, we should just accept it in light of their property rights? It's not an analogy to imply ISPs are exactly the same, but property right supremacy when it comes to infrastructure is not a simple question.
OK, so what about if you are hosting public conference calls they can join about how much their company sucks, and they cut your phone service? Analogies are a stupid form of argument, but I'm trying to surface the problem here somehow. (In this analogy they're not the conference call provider, they're just the phone service provider which enables you to use the conferencing service over their lines, if that wasn't obvious. They're a pipe.)
Alright, so then you'd be OK with some phone company, that has a monopoly on a certain geographic area or town, banning anyone who has made a public social media posts that is critical of the company?
I wasn't advocating any particular position in my previous comment.
But to answer your question, no, I would not be OK with that. Utility companies (in the United States at least) are typically contracted by cities to provide service, and regulated by a public utility commission as well as various laws. I assume denial of service over social media would violate a number of regulations or contractual obligations. And I agree with that.
Now if you're really asking whether or not various service providers should be regulated as utilities and obligated to provide service to everyone, that's a much more difficult (and vague) question that I don't have a easy answer for.
The point is regulating them is very specifically society stating "your property rights do not overrule the factors that led to this regulation." Which is the argument being made as worthy of consideration. Regulation that makes such coercion possible starts out as an argument like the one here. Saying these companies ought not to be able to censor people in a certain context despite their property rights isn't saying they should be arrested or something, it's saying we ought to regulate them.