That isn't the only definition. For example Cambridge's definition of censorship (https://dictionary.cambridge.org/us/dictionary/english/censo... )

"the action of preventing part or the whole of a book, movie, work of art, document, or other kind of communication from being seen or made available to the public, because it is considered to be offensive or harmful, or because it contains information that someone wishes to keep secret, often for political reasons:"

Implicit in that the action is about preventing someone else from making that content public.

"Implicit in that [definition is that] the action ..."

"not what's happening here", meant to say.