If I think about the way I was drawn into the music, it was much more by recordings than by live performances.
My roots are in my record player.
Remarkable only the very best arrangers can get a sound like that from four horns
Improvisation is a compositional method.
I think the whole question of meaning in music is difficult enough even if you hear me playing live right now in the same room! What I mean and what you take from it may be two quite different things anyway.
To speak about notation as the only way that you can guarantee structure of course is already very suspect.