it may be moral in some extreme examples

Are they extreme? Is bad censorship genuinely rare?

but there are means of doing that completely removed from the scope of microblogging on a corporate behemoth’s web platform. For example, there is an international organization who’s sole purpose is perusing human rights violations.

I think it’s relevant that tech platforms, and software more generally, has a sort of reach and influence that international organizations do not, especially when it comes to the flow of information. What is the limit you’re suggesting here on what may be done to oppose harmful censorship? That it be legitimized by some official consensus? That a “right to censor” exist and be enforced but be subject to some form of formalized regulation? That would exempt any tyranny of the most influential states.