If China ever had a state religion, (and it did back in the Imperial days) it would be ancestor worship. The Chinese have a strong belief in the power of the dead. A skeleton shows disrespect of the dead as obviously this body was unburied and now the spirit is angry and in the world. It's sort of like consigning the person to an eternal hell. Proper burials are a big thing. It is indeed a cultural taboo, maybe like how witchcraft and wicca is taboo in large portions of America. The Chinese government, up to the Last Emperor in the early 1900's, seriously believed in the Mandate of Heaven and superstition. Supernatural evidence such as ominous dreams and the testimony of ghosts was used in court cases as late as the 1890's. The Dowager Empress' support of the Boxers during the Boxer rebellion, was based on her belief that they literally posessed magical kung fu powers- that they could deflect bullets, and defeat the colonial powers in the country.
The government may have rejected superstition, but as we in America know, just because the government rejects religion, doesn't mean the whole country is not tainted by it. Replace ALL of our Christian influenced stuff with Ancestor Worship/Taoist/Buddhist synchrotism influenced stuff, and you get China.
The Chinese government has long been the protector of cultural sensibilities, it's one role that the Chinese government takes on today. Cultural control is a key part of Confuscian society, not just government. Even Democratic Asian countries such as Japan, Taiwan and South Korea promote 'social repression and lack of individual expression' as it were, through strict educational regimes based on memorization, and encouraging a highly disciplined and hierarchal family structure.
To the CCP's credit, they've done much more for women's rights and the equal rights of minority in China (societally) than the above mentioned Asian democratic countries. The above countries harshly disapprove of things like interracial marriage and women acting outside of or neglecting 'the traditional role', and never had anything like the Civil Rights movement to change old perceptions on race/eugenics.
That doesn't justify censorship of course. If they could just get with the program and institute some kind of genuine elections and government respect for human rights, then mainland China would be one of the most open and free countries in Asia.