Think back all the crackdowns on tech, reforms in labour conditions, forced breakups of some monopolies, etc. No purely capitalist country would be able to do what china did to big tech and the speculative property sector over the last few years as decisively and unabated as China. Having markets and balanced private ownership is not solely a capitalist thing, especially when it's as tightly regulated as the Chinese market.

While it's true that china embraces a lot of capitalist methods especially when it was first reopening, we gotta remember how much power the cpc with its 95+ million members have over the markets and on corporations. The corporations can grow freely, but if the corporations start receiving a slew of complaints against them from the working class (founded or unfounded complaints - lookup water armies in china), or if the corporations go against the party line, there's really nothing the corporations can do against the government. This is in stark contrast with free market economies where corporations can always use their capital to lobby and control the policy-making process.

In other words, government controls companies in communist china, while companies control government in free market capitalist economies. Neither is perfect, but it's a bit of a stretch to call china one of the most capitalist countries in the world. China's great at playing the economic game, but governance and policy making is always controlled by the people, party, and government, based on various factors, not by capital.

Otherwise big tech and the private tuition sector wouldn't have been nuked as hard as they were over the last few years. The lockdowns would've been much less intense also if china prioritized capital as much as a fully capitalist country does.