Norms mean "we don't want to listen to you say that". Censorship means "we don't want anyone to hear you say that".
Say a church installs a porn filter on their network. That's moderation: the members of that community have a set of shared values they are protecting. Members are free to access the content elsewhere or leave the group altogether. By contrast, when they pressure the local library to remove books they don't like, that's censorship.
Conflating the two creates an absurd duality where you either support censorship or you support groups being held hostage to society's vilest elements.