I've heard of musicians with very strong senses of perfect pitch flocking to flute or oboe, because anything not keyed in C (perfect pitch equiv) results in too much cognitive dissonance. Clarinets are keyed in Bb (you play a C, out comes a Bb), horns in F (you play a C, out comes an F), trumpets in Eb (this should be clear), and so on...

Like motion sickness with musical tones - you see one thing on the page, you have a sense for what "note" you're playing, but out comes something else.

I have perfect pitch but it's not really useful, except for noticing that my instrument is getting sharper. But that doesn't matter since you have to be in tune with the rest of the band/orchestra.