Removing hate from a privately-run platform is not censorship. It just feels like censorship to reactionaries because their political beliefs are hateful and do not respect the categorical imperative.
You can no more run a social media website without moderation than you can run a nuclear reactor without a moderator.
What people don't want to admit to themselves is that censorship isn't always a bad thing. Realizing that requires a degree of nuance that the internet currently doesn't support.
A right leaning person might say, it is just to prevent people with means from receiving welfare. A left leaning person might say, means testing can leave gaps where some people are unserved.
The right leaning person says, "it is unjust to censor", the left leaning person says, "that system has a side effect -- if you are tolerant of hate speech, others will leave".
I don't know if this holds always, but now that it's pointed out, I see it in a lot of places.