tbh if I was going to listen to music and use an amiga at the same time it'd just pop a tape in my stereo.
Providing one finds the squeal of ancient cassette mechanisms and the crunchy crispy sound of tapes being eaten "music" (and if you're an industrial music enthusiast, you just might!) then that's a good solution.
I mean, providing one would want to waste their time tracking down a tape deck and a cassette to play.