And this is correct because ... ?
There are whole subsectors of "music theory" that cover precisely this sort of thing, even though they are fairly arcane. I'm thinking of things like pitch set theory.
My own take is that western musical pedagogy, at least historically, is one of the worst examples of pedagogy that exists, precisely because of what is taught, in what order, and why. It pretends (or used to) to have some sort of universality or inevitability, when even a scant familiarity with other musical cultures would make it clear that this is false. It is emphasizes a note-centric rather than interval-centric approach to melody (and chords) that ignores centuries of (folk) musical practice (most simply known as transposition, but the implications of it are staggering, and largely elided).
So, defending what that pedagogy calls "music theory" seems like weak sauce to me. Especially given, as many others have pointed out, western/european "music theory" is a codification of existing practice for the most, not a generative theory.