I am a student with not a lot of money and I really love classical music. I don't have to pay for Spotify due to Spotify family. Also, I really don't like the cliché that classical music is mostly for the well-earning élite. Classical music is just great music. Totally agree with you. Like the idea of a seperate app; when I am streaming my favorite music on Spotify, it's sometimes weird to listen to some piece of contemporary music and then a classical piece.
That's right. But what I really like at Spotify is that I can start a track on my iPhone, which is connected to my music box, and then add tracks to the waiting list or change them from my iPad. I really miss this option in Apple Music.
While not exactly the same, your school (college?) may have access to the Naxos library, which may allow you to stream that for free (requiring login through your school library).