No one has lost domain hosting, that I'm aware of. But at least one person got pepper-sprayed, more have been beaten in the street and others have had people going after their jobs based on mistaken identity.

This doesn't address the fundamental point: that if you declare a willingness to censor anyone, then you'll immediately have a whole lot of people trying to convince you that their personal enemies fall in the censor-worthy category. I don't trust domain registrars or CDNs to be the final arbiters of Who Really Is a Nazi.