I initially agreed with your response, but after reading a post by Markomalley at TOS, a significant concern is raised:
Except if you look at the detail of what was done, they technically weren't censoring content, they were banning a user for violations of terms of service (which the user agrees to when he joins those platforms). Jones technically was banned for repeated calls of violence. There is a difference between banning a user for violating terms he agreed to and 'censoring' content. The difference between a content provider and a service provider is important because on a platform the size of Facebook, for example, they have about a billion users and simply can't be responsible to track down and manage every single post in the general 'editorial' management sense. They would need to have millions of employees reviewing and censoring posts if that were to take place. As a service provider though, they can keep protections from the responsibility from some random post by one of the billion users, while at the same time, retaining the rights to protect the site when they catch violators of the terms of service.
So that law is good in protecting business, those who want to plant their flag on it are just now splitting hairs to try to make it about this?
If that's the case then, what right would Facebook, YouTube, Twitter, or any other 'service provider' site have in banning anyone? YouTube has been taking down ISIS videos when they find them. I suppose using the exact same argument, they have no right to take those down?