That's not how BiaB works at all. It has all kinds of patterns built into it. So, it knows, how to generate, say, a bluegrass bassline in a given key. There are plenty of ways to play back MIDI with high sound quality, including feeding it into an AI-driven VST like NotePerformer.
Yeah I definitely imagine certain genres sounding off due to the rhythmic nature of computer timing. Jazz doesn’t follow rules like that so good jazz has these timing idiosyncrasies that make it sound the way it sounds. That and a ridiculous obsession with adding half step and quarter tone intervals.