I know this sounds stupid and pedantic, but what do you mean by ownership?
Diff person here. Can't speak for who you asked. Not stupid OR pedantic tho! For me, it means two things.
One, that the music cannot be taken away from me against my will. So no DRM! No s/w that can reach into my device and remove things, how it was happening with DRM audiobooks. The music must be Plain Old Files. That I can copy and backup. No special s/w. Oldschool CDs were like that. DRM-ed music is not like that.
Two, also means I have fairly paid the artist. Especially for smaller bands, or single individual musicians. If I like their shit enough to seek it out, I feel they deserve to get paid.
It's both of those at once that's harder than it should be. Easy enuf to get one, or the other, alone.
It's not impossble tho. There are ways to have both, and I do it.