As a follow up to this discussion, I have since moved on to a relatively new iOS player app called BTR AMP. It definitely supports both the AlbumArtist and Artist tags in separate lists. It also supports Album, Composer, Genre, and others that you can choose and add as tabs.
Currently it does not separate fields with multiple values. But this apparently is on the list of features in development for a future release, and updates are coming often. The developer is very responsive and open to accepting suggestions. It may be worth exploring with the trial period.
For a deeper look, I have a detailed review posted here a while ago. There have been more updates since, currently at v16.1 now.