But I do think Chinese culture has greatly valued education (and standardized testing) for about 20 times as long as the gaokao has existed; in that sense, too, the school system is a reflection of the surrounding society, not only vice versa. It's true that the "education" in question has often been more a matter of convincingly repeating established doctrines than of repudiating them, and often valued because it was a gateway to material gain, by way of standardized testing.
On the other hand, I never see the kind of anti-intellectualism that got Trump elected in the US (and Hitler in Germany) in the families of my Chinese friends. I know it can exist in Chinese culture — the Cultural Revolution had plenty of it — but it doesn't seem to be a dominant thread the way it is in the US. And this is true of families from Taiwan, too; it's not just a Mainland Chinese reaction to the CR. They just don't seem to have the nerd/egghead stereotype.
(And I still don't understand why that other person thinks Chinese people don't spend enough on schooling or why they would consume more if they did.)