The PRC has a socialist market economy, a form of developing socialism where the commanding heights and critical industries are socially owned, while emerging industries are marketized. This is because the CPC understands the Marxist critique of capitalism, which isn't that private property is morally wrong, but that the basis of social ownership is centralized, socialized production as seen in developed markets, not decentralized and scattered production, which instead suits markets.
The CPC already tried the more dogmatic method of collectivizing everything, and this went the way Marxists would predict: unstable. The developing areas were in contradiction between their unsuitable level of productive forces, and an attempt at forcing a higher level of social organization upon them. This resulted in dogmatic errors that have since been corrected.
Regarding the CPC, they are a proletarian party. The state in Marxist analysis can never be a neutral "state," it can only be a "feudal state," a "capitalist state," a "socialist state." They can only represent the ruling class of society, as determined by which class controls the economic base. The proletariat and peasantry took power in 1949, and since then have had dominating control over the base and superstructure. Hierarchy is not class, that is not Marxist. The capitalists that exist in China are under the domination of the state, they are not in power.
Vietnam is much the same way. A vibes-based anecdote does not actually argue against the fact that Vietnam's economy is dominated by the state, which is run by the working class against capitalists. This was decided by the revolution.
Regarding the chauvanist claims you've made of China's laws regarding national unity, they are always there to support national identity of ethnic minorities while promoting a greater socialist unity. You sourced none of your claims here, but if you actually listen to what ethnic minorities in China have to say, or if you understand that ethnic minorities are overrepresented in the NPC as a part of affirmative action, then this falls apart.
I have obfuscated no facts whatsoever. You operate from a position where you assume your own point of view is correct, then again immediately dismiss me as you would Cuba or the Black Panther Party for upholding the DPRK as a legitimate socialist state born out of an anti-colonial struggle. It's enormously anti-critical and entirely bad-faith.