This is some grade A+ projection over here. Han chauvinism was so bad that Mao Zedong drafted a party directive specifically to address it.
Mao was giving minority cultures exemptions from the 1-child policy, subsidies, and all sorts of other stuff at a time when we were running Jim Crow.
90%+ of Han Chinese only ever see other Chinese, they do have a sort of belief that their culture is the best culture on the planet and the center of the world but so does everyone else, especially Americans. We can't say a thing.