This is unlikely to happen as it would contravene basic doctrine of Marxism-Leninism about the purpose of establishing a party (which is supposed to take over the the state, and then gradually become obsolete). The Maoist development of this is supposed to stop the party from becoming ossified by continually measuring how well it is meeting the needs of the people similar to product development or marketing, except that their service is civil/industrial administration. I don't know enough about later developments in their official ideologies, or enough about China to say to what extent their governance is a reflection of their cultural mores, but it seems to me that communists start with a rationalistic view of economics and production (ie beginning with axioms identified by Marx) and then try to build empirically on top of that by trying out different policies in pursuit of the general goal of maximizing collective utility.
My impression is that one succeeds in Chinese public life by successfully innovating in pursuit of received (and perhaps arbitrary) goals, such that being good at the means eventually allows you to have input on what the appropriate ends may be, and this is why many Chinese VIPs come from an engineering background. But success in civil administration or development of infrastructure is built upon getting results in response to specific conditions rather than the articulation or application of general principles, and is judged by administrative peers rather than the public.
I don't feel one can understand China in terms of just capitalism v communism both because they have a sort of mixed economy that that is hypersocialistic in some respects and hypercapitalistic in others, and because of the different philosophical currents in Chinese culture like the hierarchism of Confucianism, the legalism of Mencius, and the oddness of Taoism, which can seem like pure solipsism or all encompassing systems theory. But it does seem to me that once the emergence of distinct factions would be regarded as an existential problem to be resolved as urgently as possible through some kind of intra-party showdown rather institutionalized duopoly. Harmonious stability has been a strong cultural more there for ~2000 years, so very dynamic internal politics would risk a sort of national introversion that would weaken China with respect to the rest of the world.