This may not be intentional, but it's a bug that exists regardless of where songs are downloaded from, originating from both the desktop app and iOS app.
The fact that it spans multiple applications points to, at best, neglect by Apple to correct software issues or at worst, that they are allowing issues in iTunes to persist to push people into subscribing to Apple Music.
I stopped using the native Music app and started using Cesium about 2 years ago to avoid the pushy subscription ads.