There’s a sense in which my situation is actually not so unusual. The finding that people who are good at one cognitive task tend to be good at another is based on the study of people of average intelligence. It becomes less and less true as you look at people of progressively higher intelligence. Twice exceptional children are not very rare amongst intellectually gifted children.

... This basically explains my entire life and really makes me feel a lot better about the whole thing.

Also, I feel that the tendency towards Mathematical Platonism has poisoned professional math and math pedagogy by making people view mathematical ability as a kind of divinatory superpower rather than as a lawful cognitive activity -- but at some point I might as well just write an entire article ranting and railing on behalf of constructivism rather than elaborate here.