The inverse is likely true with the classical audience. Just like with jazz, although there will be a small portion of users seeking “vibey jazz” sort of playlists to use in the background while working, the majority of jazz fans consume jazz as albums and still concerned with things like personnel and liner notes, perhaps even who mastered this recording. Classical fans are similar except I would say even more picky IME (worked in a jazz and classical CD store/venue for a number of years)
The same may be true for Jazz, though in that genre there may be a bit more of a separation between jazzy background mood music and jazz as consumed by fans. There are some overlaps ("The Girl from Ipanema", "Take Five", etc), but they may not be quite as central to the canon as their classical counterparts.
You haven't justified your assertion of the dichotomy between pure blind consumption and active, focussed listening. You must actually argue that the negation of one implies the other. Your comment is totally meaningless as it stands
Isn't that exactly how music is consumed nowadays by most people? They put something when driving, cooking, doing homework, etc. It's used mainly for mood/focus and they're not exactly paying close attention to it the same way one would to a audiobook of, say, an abstract algebra textbook. Especially considering how cheap and easy it is to steam music nowadays. I suspect focused, attentive listening only makes up a small minority of the total streams.