Well yeah, they are both; China has a mixed economy.
It is quite clear, however, that most analyses of their economic successes don’t add that nuance and come to the predetermined conclusion that I outlined above: the success is due completely to adopting western capitalism, and the negatives are due to the elements that don’t fit that mold.
Some of the above is “capitalistic” and some of it is not. Commentators have been predicting China would continue to shift towards becoming more capitalist or fail for decades and they’ve been continuously proven wrong. China has developed a completely different model of development from the western consensus, but people still want to have their cake and eat it too.
But yes, I totally agree that you don't need to be 100% capitalist to benefit from having a market economy. Even the US's economy is ~15% public sector. Usually when multiple ideologies are competing, there's elements of truth all around.