As I see it, notation on sheet music is a tool for translating musical ideas into something that can be read/interpreted by others and played back, given they understand the same set of rules.
I assume also that the way one approaches to music or the instrument played makes thinking about music itself very different. So when it's time to write or create some music, maybe someone trained to see through the lenses of musical notation would come up with some sort of "patterns" or ideas that another person more used to digital creation would have different. It's like if the tool was shaping the craft somehow.
Some time ago I've came across a bass workshop by Victor Wooten that made me think about music in a different way. He explains music as made of 10 elements (notes, rhythm, space, dynamics, articulation...). He believes that all of these are equally important to make music, not even good or bad music, simply music, because you can find them in every melody or song.
Introduction made, now the question. On my personal journey to learn music I've tried guitar playing with no attention to music theory and after that some time in an music school. I'm not reluctant to theory, in fact I like it, but what I fail to see it's the point of making the staff the center of my learning when I don't want to be a classical nor professional interpreter.
I want to understand music, its elements and details to be able to express myself with no more limitations than my abilities. Beyond some basic knowledge of notation that certainly is good to have, is there any fundamental element that is better learned using music written on a staff? I'm thinking in rhythm but not sure.