Spotify in fact doesn’t go through the App Store for purchases.
The better question is why hasn’t Spotify made a decent watch app that can stream directly to it and download music for off line use? Apple added the ability last year.
How much of a cut does Spotify take from musicians to be on its platform?
In my view, the percentages are not the biggest factors that lead to this situation (although it adds to the outrage when the monopolistic accusations are thrown around).
The problem is: all of these big techs want to be a platform, and all of them sell (to their investors) the idea that their platform will be very profitable precisely because it will lock the participants inside a ecosystem hard to escape from.