As my previous post implied, socialism can refer to a school of thought/philosophy, or a movement, or a political position. China’s government clearly does not claim it has achieved a society with a socialist mode of production (which I’m assuming is what you mean by “real socialism”?), but that doesn’t contradict their claim of being a socialist, and further, communist party.

Furthermore, free healthcare is irrelevant. It’s not a precondition of socialism. The working class can control and own their means of production without having free healthcare. It’s a great policy which I support, but it’s not socialist.