Deleted member 67076
I don't think so. Communists are very good at providing basic education and health care, and of promoting women's rights. Keeping the store shelves full, no so much. And, in any case, the fertility rate was already falling like a stone years before the One Child Policy was formally introduced.
Hendryk's Superpower China TL, where the PoD was the monarchy being restored in 1912, has China at first-world levels and a population 1.6 billion. And much higher migration abroad sees a much larger diaspora.
Source: http://www.un.org/esa/population/meetings/EGM-Fertility2009/Gu-Cai.pdf
Not really.
The Communists in China didn't work on that up until Deng's era and this is reflected in the fertility rates. Actually, rates rose during the first decade of their administration. Only in the 70s was there that consistent decline.
Here, this won't happen. In fact, the opposite will as development begins decades earlier (as the OP suggests a China that starts its rise decades earlier) and thus, the transition begins decades earlier.