Seems setting up your Music profile was a good first step!
Wondering if you have "Shared PlayLists turned on, or off, and, (if you haven't seen it already) whether Apple Support's article (link below) can be helpful:
Share music with friends on iPhone - Apple Support
Eg: says:
"Share your profile
You can share your profile using email, Messages, or another app you choose.
- Go to the Music app on your iPhone.
- Tap
or your profile picture. - Tap Music Profile, tap
, tap Share, then choose a sharing option.
You can also share the profile of anyone you follow, or who follows you."
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Article also says: "Choose music to share with your followers
By default, your followers see the playlists you create, but you can choose not to share some playlists.
- Go to the Music app on your iPhone.
- Tap
or your profile picture. - Tap Music Profile, tap Edit, then turn Shared Playlists on or off.
To share playlists with people who don’t follow you, touch and hold a playlist, then tap Share Playlist.
Note: If you make changes to music you share—edit or stop sharing a playlist, for example—those changes are reflected on your followers’ devices."
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Article also says: "Choose who you share music with
- Go to the Music app on your iPhone.
- Tap
or your profile picture. - Tap Music Profile, tap Edit, then tap People You Approve to be followed only by people you choose. (Everyone includes all Apple Music subscribers who have a profile.)
For additional privacy settings, see Hide music from your followers."
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NB: There is also more info. in that linked article at the top
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If nothing above has helped, please feel free to let us know:
or
The Music Support website has info. / support / contact options etc.
Music - Official Apple Support