For me, the benefit of listening to live acoustic music is to familiarize yourself with what natural unmiked acoustic instruments sound like. Piano, guitar, voice, violin, cello, trumpet, sax, clarinet, etc. That can help you recognize the subtle nuance of a recorded acoustic instrument when it sounds right. Symphonic music can also help you pick up on the subtle ambient sounds of a concert hall, and natural dynamics.
Electronic and miked instruments can sound like whatever electronics they’re being played through, which makes for a less natural and less reliable reference. It's pretty common, and frankly fairly easy to get a system to sound like a dance club, but much harder to get one to sound like natural music.
In the end, to each his own and we should setup our systems to our own liking, but I definitely find it useful to know what a natural instrument sounds like when evaluating a system.