That's a lot of whataboutism and it doesn't really answer my question.
The CPC itself isn't Marxist. China, as a whole, is Marxist-Lenninist pending the final transitional stage where the new, benevolent ruling class dissolves itself and hands power back to the proletariat. It's been that way for decades.
And a state-owned enterprise isn't inherently communist; it's whatever the state is. If it's controlled by the state, and the state isn't classless, there needs to be full transparency in how the enterprise is operated. If the public has no say in its operations, a SOE is just a nationalized corporation executing on the whims of a ruling class—and that's closer to capitalist-socialist ideology than communist ideology.