Hi JeffRossouw
welcome tothis Apple (user-touser) Community :-)
Re: " I just switched from Android to iPhone 16 Pro ... On attempting to download some of my Spotify playlists,
I got a message from Apple stating they don’t allow it ..."
Am no expert in this area, yet seems you deserve some response to your post, if only to keep it active so that others have another opportunity to reply, and share their experience.
Seems you can move your actual songs from Android to Apple's iPhone ok ...
Move content manually from your Android device to your iPhone or iPad - Apple Support
Am wondering if any existing Spotify playlists may be in a format (indicated by the letters after the dot in the filename (eg: Playlists on my Mac have "music.3mu" filenames) that only plays on Android's OS ...
or
If you are (or intend to be) an Apple Music subscriber:
perhaps you don't yet have a profile for yourself set up in Apple Music to use playlists with
See how to: Create an Apple Music profile on iPhone - Apple Support
In Apple Musiv: you can "Organise songs into playlists"
or
"Collaborate on Playlists"
You may also want to try: Create, edit, and delete playlists in Apple Music on the web - Apple Support
All the best :-)