When people construct their ideas for content in a video, in usually consists of different hybrid blends of storytelling techniques. The most common ones I see for music videos vary depending on trends in the genre of music, or whatever is popular in that culture. We can see videos that are fully a short narrative or story, little events happen and it's basically a short film. Others have a mix of a briefer story and making cut backs to a band performing on camera to fill in time and block out the video. Less common, but still happening, are recordings of the band only - On stage, in a studio, in public, at a party, at a concert, and so on. These last ones are almost always done by a third party and are not controlled by the band's artistic values beyond their actual performance. Basically, while in the video, don't cut it up, etc. Here are some examples.