I think music is a good "test" for logically thinking people because it requires you to put away your logical brain and just accept that music sounds good because "it just does" and music theory is the way it is because "it just is". I don't think you can get good at an instrument or enjoy music if you keep trying to force it to make logical sense in your brain all the time. The fact that the author admits straight o…
As someone who enjoys listening to music, creating music, and music theory, I'd characterize the latter as providing a specialized vocabulary; an approach to listening, since words in the vocabulary represent concepts that you can hear; and a toolbox of concepts you can draw from.
It's a model, you can use it as much or as little as you like. And there's more than one model, and sometimes the different models overlap more or less, and you can choose any of them or none of them and still make and enjoy music.
The other thing it provides is a wildly complex logical system with fascinating philosophical connections. Some people enjoy exploring that more than making music with it, and that's also okay. I've certainly gotten a lot of enjoyment out of that. It's made me a better thinker. In math, formulas can be elegant. In music theory, different constructions induce different experiences.