It might be useful, in both cases, to distinguish "fans" and "consumers" of those styles. Yes, the people who most consciously identify as fans of the styles are picky, but I'd be willing to bet that the vast majority of classical play counts by volume are consumed for muzakish purposes. Mozart for babies, Vivaldi for malls, etc.
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.
these are fair points, I suppose I was more addressing this with the "classical fan" user in mind given the context of the discussion, idea of a platform that serves these users. It definitely is true though that a huge portion of music listeners in general would rather throw a random playlist on than select an album and it would be interesting to somehow see how many classical listeners on say Spotify are doing so through playlists vs selected albums.
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.