People are of course free to try and stop neutral providers. They are also free to lobby for a government that will censor them.
If you don't believe me, maybe you'll believe a lawyer who does a lot of free-speech work: https://www.popehat.com/2013/09/10/speech-and-consequences/
Edit: According to you, shouldn't Twitter be at fault for letting Pax say such hurtful things? They're providing him a platform.
People are of course free to try and stop neutral providers. They are also free to lobby for a government that will censor them.