Had a similar ability with music, upon hearing a melody or a chord, would rapid-fire off what the notes were. Detuned a string a few cents, could immediately tell is was out of tune. As a guitar player this was a bit annoying as she would always be telling me something was off when it was slightly out of tune, it was like a nails on chalkboard kind of experience for her.
There's nothing more grating than hearing people playing slightly out or doing half-bends on guitar. I've played with people who have played for decades and still can't hear that they're out, and it's terrible.
I could probably do better than blind determining what is 432 vs. 440 because there are enough common reference examples out there that I have sense of feel for the difference, and I could tune an A4 cold +- 5 cents. But a third of that? A vanishingly small number of musicians would be able to do that with any reliability without a reference point.
She didn't know how on-point a pitch was because she was listening. It was innate and immediate. It was literally described as the intensity of a color that corresponded to a key.
We're kinda off in the weeds from the point I was making, which was refuting the notion that music could have any analog to reciting a phone book. There is a bit of a connection between memory and processing music in a way, at least for those with this condition, that probably is more subconscious for those without.
This is Jazz
Sure, but even though we consider Jazz anything that sounds jazzy, i.e. using Major 7ths or flat 5s, because Jazz and Classical are so individually encompassing, literally every other genre of music is also Jazz and Classical, any sound that can be made with an instrument fits in Jazz and Classical, i.e. it can be interpreted using the modes and forms of Jazz or Classical without changing how it sounds. It just isn't very useful to approach or interpret, say, a folk song from the perspective of Jazz, nor the sound a guitar makes when smashed to pieces, but technically, everything is either Jazz or Classical or both.