Well, it is actually the connection between Classical Chinese philosophy (Confucius & Lao Tse) and Classical Western philosophy (Pythagoras and Plato). That’s where the idea of harmony came from, for the Chinese govt and Bastiat, respectively.
I find that the CPC’s idea the of social harmony seems closer to the Western pre-determined / dialectic conception and the liberal idea closer to the emergent / diversity view of the Eastern tradition.
That would be a further fascinating twist. I’ve spent a lot of time investigating both systems; in so far as musical harmony is the core metaphor, they both seem to resolve together. But I agree that the eastern system emphasizes diversity more (at least in the classical period). Heraclitus said “out of discord comes the fairest harmony”, which is suggestive how economic competition produces economic harmony.
(And, if anything, this connects the philosophy of Communist China to the philosophy of capitalism. Mao was born well after Bastiat’s death.)