i do not have absolute pitch, but i can tell if a note is sharp or flat. i tend to like pianos tuned slightly sharp. (i am within 1/2 step at least on my note recognition, too).
does this mean something important? like will we tell the truth or lie? what if i said yes...i have absolute pitch and really didn't? how would anyone know. i think there should be a midi section that you have to identify quickly without leaving the keyboard. (see what skeptism has crept into my previously happy life).
and what about people who say they don't have absolute pitch, but play the violin professionally. how would you know if they were telling the truth, or just like to play 1/8th above pitch?