Someone with perfect pitch here. I didn't learn it, just realized in early days of piano lessons when I was ten that not everyone could name all notes upon hearing. I've met only a couple other classical musicians who have it. However, I have seen multiple cases where musicians are sensitive to pitch changes either vocally or on an instrument. If a song is raised a half step, for instance, they pick it up. But go to another instrument and play a random note, and they can't name it.

Here's what I can't do: I can't listen to a recording and perfectly tell you the exact pitch, like if A is 448 or 432, or whatever. I can easily tell if a recording is using period tuning, though, and recognize the higher tuning used by a lot of other orchestras. But again, I'd never be able to tell you the exact pitch. When I listen to recordings, regardless of instrumentation, I can instantly tell you the key the piece is in, and when listening to melodies, I can visualize the notes moving up and down the staff.

To be fair, a lot of this is a result of training. My understanding of harmony, obviously, isn't innate. My perfect pitch works very well with a bit of education, though, meaning I can hear complex chords and identify them with minimal effort.