I'm probably one of those people that can identify specific notes, but probably only if they're played on a piano. I play an electronic piano and what I find amusing/frustrating is if I use the 'transpose' function. So when I play for example in C but it is D that comes from the speakers, I will often find my fingers migrating to 'correct' the pitch. And if you wonder why I'd transpose, it's because - to my ears - a piece of music can sound noticeably different shifted just half a tone.
