I'm trying to understand the OP a bit better.
I adored Mozart's Symphony 41 from the first time I heard it. I especially loved the last movement, but I had little understanding of what Mozart had done to create that movement. I heard the music but not the structure. Later I learned about the structure and found it fascinating, but that knowledge did not change my emotional reaction to the work.
I read a detailed explanation of how Xenakis created a portion of Pithoprakta. He used a very technical process to map the distribution of velocities of the molecules in a gas onto music. I understood the process, but that process had no effect on how I heard the music. I certainly could not hear the "structure" or that process in that portion.
People can enjoy a work whether they understand the creation process (hear the structures) or not. I understand little about the "structures" or creative process for Boulez's Sur Incises, but I find the work engaging, beautiful at times, and quite enjoyable. Can you give me a better sense of why you say, "No matter how "structured" these compositions seem on paper, they are irrelevant to the listener, since these structures are simply not audible"?
I assume you mean that some modern classical music can hardly be distinguished from random notes. Are you really referring to avant-garde music rather than modern classical in general? A high percentage of the modern classical I hear is tonal, and I assume you don't think those works sound random.
I think it's somewhat interesting to discuss what classical music listeners hear when they listen to music. I'll give two examples from my experience - Mozart's Symphony 41 and Xenakis's Pithoprakta.
I adored Mozart's Symphony 41 from the first time I heard it. I especially loved the last movement, but I had little understanding of what Mozart had done to create that movement. I heard the music but not the structure. Later I learned about the structure and found it fascinating, but that knowledge did not change my emotional reaction to the work.
I read a detailed explanation of how Xenakis created a portion of Pithoprakta. He used a very technical process to map the distribution of velocities of the molecules in a gas onto music. I understood the process, but that process had no effect on how I heard the music. I certainly could not hear the "structure" or that process in that portion.
People can enjoy a work whether they understand the creation process (hear the structures) or not. I understand little about the "structures" or creative process for Boulez's Sur Incises, but I find the work engaging, beautiful at times, and quite enjoyable. Can you give me a better sense of why you say, "No matter how "structured" these compositions seem on paper, they are irrelevant to the listener, since these structures are simply not audible"?