South Korea exports consumer goods to the large US market, this has been a massive fuel for their growth. They followed in Japan's footsteps (and China, for a time at least, followed in theirs). I can't think of a single manufactured product out of Greece, Hungary, Austria and few from Italy to the US.
Being on an "empire gradient" is just an arbitrary way to look at a country.
You know who else is on an empire gradient? North Korea. Afghanistan. Belarus. You're not even specifying which side of the empire gradient. Maybe being on the authoritarian, communist side did not work out so well for many countries?
I think what matters for South Korea is moving steadily toward more democratic governance, embracing capitalism, and proximity and historic ties with Japan (not always pleasant, obviously, but ties nonetheless) at a time when Japan was developing robust trade with the US and when Japan's own consumer sector was booming, providing another market for Korean firms.
Korea has absolutely followed the pattern of moving steadily up the value chain, for example in consumer electronics, in autos.
I can't think of a single manufactured product out of Greece, Hungary, Austria and few from Italy to the US.
I would strongly disagree with Austria, and modestly disagree with Italy. Austria is a low population manufacturing powerhouse. They are not making consumer goods. They are making "widgets" that other manufactures use to create finished products. B2B vs B2C, if you like. The northern half of Italy is similar, but less extreme. I also struggle to name more than a few consumer or high value products from Austria, but I recommend to look at their median income or GDP per capita and you will say "Wow, that is a rich country".Edit: To be clear: Please do not read this post as bashing Korea. I think they are doing an amazing job in the last 50 years growing themselves out of poverty. It is a crazy and amazing story.