That's the literal opposite of the truth and basically just neoliberal propaganda. It's also quite an amusing take more broadly, considering that the market reforms were implemented by the original Communist revolutionaries, people who were deeply committed to Marxism and vehemently opposed to that idea.
China's system is defined by not letting the private sector take the wheel. Capitalists (major owners of capital, the 0.1%) have very little political power vs. in the West, where policies are almost wholly driven by the private sector.
Marx actually believed that Capitalism was a necessary step to Socialism, which would then turn into communism. Lenin added that a vanguard party would be required to oversee that transition. The CCP fulfills that purpose in China. When the Chinese leaders decided to allow some capitalism, they did so with heavy restrictions, referring to it as a "bird in a cage" policy. They quite explicitly did not allow the private sector to take the wheel, and that continues to this day.
The real history of China in the last 100 years is extremely fascinating once you get past all the western propaganda. If you want to see what happens when the private sector takes the wheel, look up "shock therapy in Russia".
China's growth came from letting the private sector take the wheel.