We tend to go more and more towards the opposite though, as it's common to watch netflix and do something else, or listen to a podcast or an audiobook while doing pretty engaging activities like driving or sports. So I don't think it's solely a music thing, it's perhaps just a bit older because the radio has been around for longer than podcasts or youtube. And I can't do most of those things myself (multi-task with artistic stuff).

I'm mostly like you in that I prefer actively listening to things (especially when searching for new things). But revisiting known things without searching for more can also offer different feelings, like a sense of comfort or some mental priming for a mood while you're doing something else. It's two different ways to listen to music for two different kinds of experiences.