One day she said there is a simple way to prove it. Certain stringed instruments have the string move on their own to the correct note if you put them near a source of similar sound. If you put these instruments in front of a speaker playing from an analog source and have the strings move, then play the exact same music but from a digital source on the same speaker, the strings stop moving, even if to most humans it sounds exactly the same.
Sadly I never had the gear to test this, I am not a professional musician and was learning from that person as a hobby (she is a teacher for professional musicians).