> and may be the least important
It's the only common thread. I provided numerous examples that refute the requirements you listed.
> Japan
Japan's pre-war industrial economy was not an economic powerhouse. Their soldiers were very lightly equipped. They built a handful of capital ships, and when those where sunk they couldn't be replaced. Curtis LeMay resorted to area bombing of Japan because their heavy industry was a collection of homes with drill presses (LeMays' characterization) so there weren't concentrated industrial targets.
What's the excuse for S Korea, Taiwan, Hong Kong?
Have you noticed that when China gave up on collectivism and turned to free markets, suddenly they became a very prosperous world power?
Yes, people preferred to immigrate to the US. Why would that be? Because it is free market and hence a land of opportunity, unlike any place else at the time.
China has an enormous population, but did not become prosperous until, again, free markets.
Likewise, your claim that China's economy is practically synonomous with free markets is laughable. Yes, they have capital markets and allow entrepeneurship, but it is still one of the most heavily planned economies with the most government intervention in the world.
Drop the "free market" sloganeering and you might touch on reality.