I know very little about S. Korea, specifically. I have a friend whose mother is from there, and all I really know from her is about Kimchi and that her mother was very particular about having things ordered and clean.
My parents also had Korean neighbors who were very nice people, but also had very high expectations on their children's performance in school. I used to tutor their son for the verbal portion of his SAT, and he had a high score before I tutored him, but his parents wanted it to be higher.
I think there is a bit of a stereotype with Koreans who live in America that they don't want their children to marry Americans (more so than other Asian nationalities).
I try not to make generalizations, but from what I've experienced of Koreans, they are very nice people and have high expectations.
I think there is also a general feeling of cheering for S. Korea because we know how horrible N. Korea is, and we hope you all stay safe in case N. Korea's crazy leaders try any kind of invasion. We would support S. Korea, of course!