China's economy is more state owned than not. The private market is strictly controlled with socialist ideology. The difference between Chinese markets and liberal markets is that the state there controls the capitalists, in the US the capitalists control the state.
Xi has been moving in that direction yes, but generally that has not been true. Also, it sounds like you greatly sympathize with Chinese authoritarianism, maybe you need to do a reality check. You can always go live in China if prefer that. I've been many times, for months at a time, since I have in-laws there. Lately I would describe it as a high-tech North Korea.
I honestly would prefer moving there but it's pretty hard to attain citizenship. I believe the US is going to collapse and potentially balkanize in the coming years and don't want to witness it firsthand.
To someone who thinks "Laborer coordination and workforce strikes." are "very Marxist", China is indeed Marxist.
I know you're not the person who responded with that conflation, but if you were, to ask if Lenin would agree with that assessment is a motte-and-bailey fallacy.