No, that's the point. Censorship is a specific thing, and to muddy the waters by claiming moderation is censorship means that during times of actual governmental overreach it will be that much harder to recruit people to your cause.

It's fairly easy to get people onboard with the idea of moderation, once you insist that that's censorship you now have a population that's "ok with censorship" which is exactly what the fascists trying to make the equality want.