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.
It is useless for everyone except singers. If you’re a singer, you can cold-start a song in tune and have the band come in seconds later. Hard to do that without the confidence that you both started correctly and haven’t drifted.
There's a story about the opera singer Kirsten Flagstad (1895 - 1962) from when she performed at a small place somewhere, singing opera songs with just a piano. Afterwards one from the audience actually complained directly to her that she didn't sing well, she was out of tune. She apologized and said that she had perfect pitch, and the piano wasn't tuned to her inner pitch - and she found herself unable to adjust to the piano.
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.
I never felt the "need" for absolute pitch.