it seems that you are more interested in the parts than the whole.
No I would say that as a music lover I am interested in both. How the parts fit together to make a whole is one of the most interesting aspects of complex musical pieces. It is why I have several version of the same pieces of music and it is interesting to compare and contrast how they are played differently (even if the melody is the same).
I think some people hear only "melodies" when they listen to music whilst others hear things like the relative timing of specific notes, instruments and their relative emphasis.
Like in any field, there is a superficial level and a detailed level. An engineer might marvel at the visual beauty of a bridge spanning a river in the same way as a layman but the same engineer may also be looking at structural details and complexity: the engineer may marvel at the beauty of how it was designed, clever use of materials and how well it has been constructed.
There is nothing wrong with being a layman but to suggest that listening to music on a radio is good "enough" is to ignore an entire aspect of the beauty of the creation process and the artistry of the musicians.
Frankly, the hyper compressed garbage being put out by major labels on CD these days (particularly in the pop genre) means you can't tell a Keith Moon from John Bonham from adam. The sound is so clipped and gated and manipulated that it becomes irrelevant who the musicians are! Unfortunately, layman don't know the difference and don't care to know the difference => and we get what we deserve: the lowest common denominator in music reproduction - mostly manipulated noise completely lacking subtlety or artistic expression from highly trained and skilled musicians!