Jazz gigs are always tuned standard. As far as I know, so are orchestra gigs, big band gigs, and bluegrass gigs. I hate Eb tuning - it doesn't sound right to me. I don't have perfect pitch, but I do have really good relative pitch. I can play in flat keys - "Misty" should be in Eb. "Green Dolphin Street" should be in F. And so on...different keys sound different. If you can't hear the difference, you may not hear very well. Okay, throw stuff now!
Hmmm, Green Dolphin St in F? Hah, I see you are from Donna Lee territory, (sorry, terrible joke). In London, U.K. it's regularly played in Eb or C. Having played the song countless times, we alternate choruses Eb then C. I guess I should change to F&Db or Ab and F, just to try to keep things fresh. Another 'fun' thing is alternating Choruses in 4/4 & 3/4, tricky at first, but becomes 2nd nature after a while.
Back to alternative tuning, the late great Allen Holdsworth used alternative tuning often. I remember Roy Babbington telling me he picked up Allen's guitar once to play a blues or something, he was quite surprised.
But his tuning didn't have any affect on how others tuned their instruments, basically pitch used is always A440.
As you mentioned perfect pitch, which I have, I can confirm that playing a detuned instrument really messes with my head, and as for 'keyboardists' that use the transpose button, either respect music and yourself enough to learn how to play, or.................Actually, having said that, there are songwriters that are 'pianistically' challenged. Gilbert O'Sullivan can on play in a couple of keys and had a special piano built that would drop the pitch by a 3rd or something. Still A440, but after a few tuning shifts A440ish I would guess. I would still say there is no reason not to become musically literate, especially with all the resources available online.
Anyway, for reference, Allen and Roy played together on the Soft Machine album Bundles, and others.
