Same for me on the guitar: it is easy to distinguish even the same note on different strings. Chords, too. But it's more a timbre plus relative pitch sensibility.
I never felt the "need" for absolute pitch.
I never felt the "need" for absolute pitch.
As for singers in general, I've seen lots of professional singers who don't have perfect pitch but still can cold-start a song - they know their own vocal cords so well that they can start at the right pitch with confidence.