you're implying if I close my eyes during a conversation I am no longer having a talk. that is just silly.
you are confusing a performance with music. if it is just a recording, then of what is it a recording? music
if you wish to differentiate between live music and recorded music that is fine, but to say recorded music isn't music is just wrong. you are splitting a hair that doesn't exist.
music may sound differentl coming from my home audio equipment than from the live performance due to the acoustics of my living room but that doesn't make it any less music.
I understand what you are trying to say, that the music is inseparable from the environment. that is one reason I despise recordings of "live" performances. the experience just for not translate for me and it bugs me. I prefer studio recordings which provide a neutral environment. that allows me to listen to the music in my current environment.