Are you really equating government censorship to self censorship?
We can dislike and declaim the media establishments that do self-censor but we can't decry their right to do so.
On the other hand...
Should the government be allowed to intimidate an entity into self-censoring? Should a corporation/entity be allowed to intimidate an other entity (with legal actions or other means) into self-censoring? Should a group of people/corporations (majority or not) be allowed to intimidate a minority group/entity into self-censoring? Should social norm of "We do not do business with entities deemed immoral (publishing anti-xxx materials)" be allowed to force entities into self-censoring?
Where do you draw the line?