When the people at large do the work of censoring it saves the government from doing the job itself.
Consider the Hollywood “Blacklist” that kept Communist screenwriters from making movies that promoted communism. the government censored movies by proxy since the producers agreed not to hire communist writers.
Or take every newspaper in America where editors impose censorship so the government doesn’t fine them or to avoid a lawsuit.
Then there are the movies.
“The Supreme Court ruled in 1915 that free-speech protections did not apply to the movies, a decision rightly reversed in 1952. In the interim, the industry opted to stave off federal regulation by establishing a series of self-censorship systems. The most powerful of these was the Production Code, which was created in 1930 but didn’t really grow teeth until 1934, when Congress was mulling several bipartisan bills to tone down motion picture content. Hollywood got the message. Under the code, seduction was “never the proper subject for a comedy,” plots couldn’t involve “sex relationships between the white and black races,” and the drug trade “should not be brought to the attention of audiences,” among other tight constraints.
See more HERE.