Because it’s evidently still a taboo in their world?? Did you miss the context with that random friend of Luke’s and his homophobic comments? The stigma exists. And there are still several places in the real world where coming out as gay can ruin prospects and your entire life. Why do you think so many men in power hide behind marriage??
Basically when he was a teen Andrew had an obsessive stalker, but his politician dad didn’t want to do anything about it because it would look bad. Andrew did some dumb shit to try and scare him off, but somehow their confrontation got caught on camera and publicized. His dad tried to cover it up by saying the stalker was Andrew’s boyfriend… it was all messed up

Again, I don't understand why being gay is such an issue and how it's gonna affect both of them in their respective careers? If the background was set in Korea, then I would have understood but it's the US. And it's not like that guy filmed them having sex. They were just kissing.