You can simply reduce you complaint from ‘hate speech’ and ‘violent speech’ to ‘speech’ to reveal the nuanced perspective of grey thinkers.
Dismissing the societal effect of censorship by dominant public mediums because their profit structure is private is - regardless of your position on said censorship - a very incurious and unserious to adopt.
The contrived examples to support your position are unlikely to resonate with anyone who spends the briefest moment in consideration of all the game theoretic outcomes that are possible with your attitude.
I presume in your world it is okay for telecommunication companies to deny cell phone access to individuals based on arbitrary, internal and opaque reasons because they’re privately held.
Attempting to deny the reality of societal responsibilities when a service hits societal scale is just silly.