(if you are korean and if the things i say are inappropriate, wrong, or rude please let me know so i can fix it !! i do not intend to hurt anyone and these are just my thoughts)
Dating - many fans are scary on how they are against a partner an idol has because ya know idols deserve happiness, however i'd like to stress that K-POP is marketed in the sense that the idol you follow is "your gf/bf" and thus a negative culture around dating is formed
Racism - I think Korea from what i've seen and heard is not in the 21st century in terms of racism/lgbt/etc due to the simple fact that many of them are either: ignorant, not educated in how blackface etc is bad, or grew up thinking it's ok. as an international fan we have to understand that Korea as a whole is not very forward/understanding on things such as these, but that is not an excuse if an idol does it again and haven't learned their lesson due the fact that they have the internet on education themselves.
Equality - again, Korea isn't very strong in terms of LGBT and such. from what i've seen, there's literally barely any support. i've heard that people would be ostracised and obviously you've heard how that one guy who came out had the majority of his career ruined and suicided. i've heard the younger generation to an extent is better then the older one's but it will take a very long time I think for them to accept it. I think if an idol came out right now, there wouldn't be that much support. But maybe one day since times are changing. What's interesting is that many idols initiate and use skin ship which here if it's done to the point as many idols have it would be considered gay, however in Korea it is simply seen as skinship. The cultural differences are extremely wide and as an international fan we have to understand that stuff like too much skinship might not be gay and rather the norm for them.
International fans expectations - Yes I 100% think we do. Often times people forget that WE DO NOT LIVE IN KOREA, UNDERSTAND KOREA'S CULTURE WELL, AND THE IMPLICATIONS OF EVENTS. We tend to not realise that hey if someone(TOP as an current example) does weed, it will never stop following their entire career because in Korea that is the equivalent of driving drunk/worse. Here(USA) if someone gets high, it's like oh lol whatever who cares that celeb name gets high. I cant even remember any drug scandals other then cory montieth and that's because he freaking DIED from it. So yes, we tend to forget that Korea is a very conservative place compared to other places not in Asia. Thus things like simple drugs aren't morally wrong to us, but in Asia they are. I do think we have standard morals though that everyone follows, but again understand that Korea has a different set of morals; every place has its own set of morals.
Boycotting on their past - i have mixed feelings about this, because personally I did this with mamamoo and super junior for a very long time. i think it really depends on if they have changed and apologised. mamamoo wrote a really good note compared to what idols usually write about blackface and they've apologised every time they didn't do something appropriate which I think in this case it would be ok to follow them, unless you personally are dead set against not following them. however in the case of SJ, I constantly see bad news yet good news. I personally don't like the things they've done and they sometimes repeat their mistakes. I choose to not follow them. However it doesn't mean that their music is bad so I listen to some of it. Most people boycott theidols but not the music.
Popularity - i tried writing about this but i just don't feel like i know enough about it so i'll refrain from it.
(aaaaa sorry for this huge chunk...i just find stuff like this interesting and have opinions on them)