I would argue that local values played a part, but an emphasis on education, long term planning, and a lack of US political dysfunction were much more impactful.
Also worth mentioning that the wins over Japan and Germany weee pretty decisive. 1960s South Vietnam, 2001 Afghanistan, and 2003 Iraq (and potentially 1991 Russia) were all pretty ham fisted efforts and there was no US consensus about what to do with the country.
I don’t know enough about 1951 S Korea to say anything useful, except it was a military autocracy until the 1980s, at which point it made an incredible shift towards democracy and the economic growth story was one of the world’s most amazing.