If you're listening to most professional live sets that has amplifiers you're listening to something that went through "capture and playback end to end". Loads of boards are digital these days, and you're probably going to be altering the mix and EQ and going through compressors and all kinds of stuff in between.
Computer graphics is pretty good, but how does it compare to walking out into a bright sunny day.
Audiowise, I wonder how listening to live music, then listening to something that went through capture and playback end-to-end.
I'll bet there are differences and I wonder where the "bottlenecks" are.