I don’t know anyone who supports hatred. I support free speech. The two are not identical, to suggest so is just propaganda aimed at limiting free speech.
I believe the current limitation to speech strikes the right balance, so I don’t support new and subjective limits to speech, like “hate” speech.
I’m unclear what you’re asking about governments and corporations. Members of both already have special case restrictions on speech, mostly dealing with military and security.
But, generally speaking, any organizations is just a collective of people who have the right as individuals. So, if I understand your question, my answer is yes.