There are videos where the story is a major part of the experience. The best example I can think of is C-Clown’s “Far Away… Young Love”. The video is at first glance very serious, but quickly becomes anything but, which is why I count it as a lighthearted example. There are two versions of the video, one with the other members of C-Clown and one with just Kangjun. The solo version, however, is the one we’re talking about. I honestly don’t want to spoil it for people, so please watch it. I beg of you. (Also, it has the same baseline as the Gerudo overworld theme from Legend of Zelda: Ocarina of Time. Seriously.)
The point is, everything in the video is played up for comedy. However because we spend so much time with Kangjun and get to know his character in this video, we get the sense that we know him. (Even though we don’t, not really. Please beware the dangers of parasocial relationships.) Narrative-driven K-Pop videos are enable us to have a very direct relationship with the singers in them. We see how the members react to the various changes in their environment, what relationships form, and most importantly, what actions they take, if any, to change their situation.