alt Hacker NewsI've only ever used Apple Music with local content. On iOS the only indication to me that non-local content is even possible is the radio tab at the bottom of the screen.
On MacOS I think it opens to the online home page, but I use it so infrequently I'm not sure. I pretty much only use it to buy music from iTunes.
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I've recently tried syncing local content to my phone, but to find that content on the phone is difficult. The phone really wants to show me Apple Music stuff. I have to Library->Downloaded->Songs. Going to Artists or Albums just shows me "Download Music to Listen Offline". I really just don't want to spend the time I previously spent on my iTunes library all over again. I was really just trying to quick&dirty add content. They've made this unnecessarily difficult and I despise them for it.
VLC on iPhone has served me more reliably than Apple Music.