Apple-Made Playlists Showing in My Music?

[iMore Question]

There are a lot of Apple-made playlists that I like (i.e. Rock Hits 2003, etc), but I don't want all of the songs added to My Music. I would prefer for these playlists to show only in the Playlists tab and not have these artists, songs, etc show in my library. I normally only add full albums to My Music so I don't want an artist with one song showing in My Music. Hopefully that makes sense.

 

[Ledsteplin]

Have you subscribed to the streaming service? These unwanted songs show in the "My Music" tab?