How can I group songs by Artist in Compilation Albums on Apple Music?

When Music groups songs by artist, it takes the name of the singer from the "album artist" field. Hence if you have compilation albums, their songs will not be grouped by the singer but, most likely, pulled together under "Various Artists" or not listed under the Artists category at all (if that field in the album description is empty). As a result, you cannot easily see all songs of a singer if some of them are included in a compilation album. It would make more sense to use the field "artist" in the song info.

[Re-Titled by Moderator]