The thing is, you're always going to dependent on someone in the mainstream economic world if you want to have a web presence in North America. Even if you run your own servers, you're at the mercy of your hosting provider, your ISP, your DNS registrar, and even browser level things like Google Safe Browsing. Any of these can be major points of failure.
So yeah, not using AWS would avoid being dependent on AWS, but you're going to depend on someone. In this sense, inclusion on the internet ultimately has a political dimension. I think that's just how it is — we live in a society with politics.
(I'm omitting commentary on Parler in particular because I have no sympathy for them in this or any other case.)