I think that many people, including myself, are looking for a wider spectrum of pleasure and "understanding" out of music than you are. For most of my life I could not appreciate Mozart, aside from a few pieces that were melodically pleasing. Now I appreciate him much more. I heard an interview with Juga Wang, the pianist, and she also dismissed Mozart until in her mid-thirties she now plays him.
I go to sleep listening to classical music. Often I turn on the radio in the middle of a piece and I try to guess the composer. Piano sonatas are very interesting. I begin to realize that a sonata is quite complicated. I think it must be Beethoven or maybe Schubert. (I would know Bach no matter what piece they played. He is distinct.) I think that the piece of music is too complicated for most composers. (If it were Scriabin I might guess Chopin.) One time the composer was Haydn, and that made me realize that he could write quite complex music. Other times it was Mozart. And often it was Beethoven. Schumann, of course, is also complex.
In the end, though, I listen to music for pleasure, and there are different types of pleasure. Some I would define as beautiful, others as perhaps enticing, or intriguing. I am sure there are many more words to describe beauty.
I am now listening to Beethoven's Sixth, his Pastorale. It gives me a melodic pleasure. I would say it was beautiful. And appreciating beauty, for me, is also important. Sometimes I listen to upbeat Brazilian jazz for joy. Other times I will listen to "classical" jazz (Coltrane, Miles Davis, etc.) to perk up my mind. I have many reasons for listening to music. For me, Bartok I think stimulates my intellect the most. But his structure is pretty much classical. Not in the Schoenberg 12 tone category.
But when somebody says "so and so is their favorite composer (or film maker, etc.) I will listen or watch to see what it is they like. I have discovered many new things that way. I like to discover new things.

