Don’t get me wrong, but I don’t really think that being a communist or not depends on identity. Wether or not a majority of the people in China identify themselves as a communist is somewhat irrelevant. In most places, specially in countries where communists hold power like China or Cuba, being a communist usually implies being a member of the communist party or some communist organization. That doesn’t mean there is no people who identify as communists, just that it is usually not something being thought of as an identity category, and probably a lot of people would say “No, I’m not a communist. I’m not a member of the party”.