Not sure if it will last, but Google Play Music does allow you to upload your music to the service. It does not matter if those songs get removed from Google’s licensing or if they never existed on Google in the first place: they are streamed independently.
I already give everything but a bloody DNA sample to Google. I'm not giving them neatly tagged music files of music that I like that is not on their service that they can then combine with the music I listen to from their service so they can advertise to me over a music bed that they think is to my liking.
