Wine's first release containing very limited support came out in September 2023. Wine 9.0's release earlier this year contained "The foundation of several of the DirectMusic modules is implemented" which still sounds quite limited.
My library uses a "pull"-model, meaning the application must call a function to render more music. DirectMusic was more of an unattended "push"-model where you'd just tell it to play something and it'd set up playback automatically. It'd just play the music in a background thread (maybe even on hardware) and your application could subscribe to certain events (like get a callback on every beat).