A bit nitpicky, but the idea behind SWCC isn't that the Capialists in the PRC are "the people's Capitalists" or anything, but that the State as a DotP allows market competition in a controlled manner similar to a birdcage. As these markets form monopolist syndicates, they centralize, and socialize, by which point the CPC increases public owership. Communism is achieved by degree, not by decree. Trying to achieve Communism through fiat has historically resulted in struggles and difficulties.

I recommend reading Socialism Developed China, Not Capitalism for an overview of what that entails.