Perfect pitch exists completely outside the domain in which temperaments are applicable. Yes, sometimes we use letters to name notes, and the letters refer to

Perfect pitch exists completely outside the domain in which temperaments are applicable. Yes, sometimes we use letters to name notes, and the letters refer to a particular tuning system. But perfect pitch can be applied to any tone in any tuning system. If there's a way of naming the note, someone "with" perfect pitch could use that ability to name the note. If I invented an 18-tone-geometrically-fumigated scale based on octaves of the golden ratio, someone with perfect pitch could name all 18 of my new notes based on hearing them (after learning my new system). Perfect pitch has no relationship to western music, and certainly doesn't exalt it. It's can be used on any music with discernible pitches.