Q: apple music offline playlist

Hi em_hainzer,

If the songs in question in Apple Music are saved for offline listening, you should not need a cellular or WiFi internet connection to listen to them, as outlined in the following article:

Save songs, albums, and playlists to listen offline

You can save songs, albums, or playlists to listen to when you're not connected to the Internet.* You must save songs, albums, or playlists on each device that you want to use for offline listening.

On your iPhone, iPad, or iPod touch:

1. In the Music app, find the item that you want to save.
2. Tap the More Options icon  to the right of the song, album, or playlist name.
3. Tap Make Available Offline.

Songs and albums appear under My Music > Library. Playlists appear under My Music > Playlists.

On your Mac or PC:

1. In iTunes, find the item that you want to save.
2. Click the cloud icon to the right of the item's name.

Songs and albums appear under the My Music tab. Playlists appear in the Playlists tab, under Apple Music Playlists in the sidebar.

You can view just songs, albums, playlists that you saved for offline listening:

• iPhone, iPad, iPod touch: In the My Music tab, tap Library. Then tap any of the different views (Artists, Albums, etc.), and enable Music Available Offline.
• Mac: In iTunes, from the menu bar at the top of your computer screen, choose View > Only Music Available Offline.
• Windows: Press Control + B on your keyboard to open the iTunes menu bar. Choose View > Only Music Available Offline.
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Add music from the Apple Music catalog to your library - Apple Support

Cheers