None of these analogies make any sense or have any relevance to the nature of what's going on when you use a service. Fundamentally you are sending requests from your computer to their computers, and their computers are sending things back to your computer in response. They have every right to log what activities their own computers are doing, and (in my mind) they have every right to claim sole ownership over the logs that they create.
The fact that they have to legally release this kind of thing is really twisted, at least to me. If you want to have logs of your listening data --- if you want to have logs of what your computer is doing --- how about you log it yourself? If that's too much work for you, whose fault is that? Don't use it if you don't like it.
Music services are a dime a dozen nowadays. The biggest reason that any given consumer stays with a given service has to do with recommendations and playlists and the profile that they've built on you. The fact that these companies now have to give that data back to consumers, which they could presumably feed into another (cheaper) service, disincentivizes companies from building better recommendation engines and down the line it ultimately makes for a worse experience for music listeners.