I feel like this is ultimately not the motivating factor and that anti-trust is more-so the reason. Apple wants to keep regulators just happy enough.
"Apple Music now has more paid subscribers in the United States than Spotify, according to a new report by Reuters. A “person familiar with the matter” told Reuters that Apple now has 28 million paid subscribers, while Spotify has 26 million. However, thanks to Spotify’s free tier, the Swedish streaming company reportedly still holds more overall users than Apple Music in the U.S."
https://pitchfork.com/news/apple-music-now-has-more-paid-us-...