So you're saying someone could play you any note, and you could play it back on your instrument on the first attempt every time? You must be some kind of musical genius. Don't you think that musical genius + musical education would make you a virtuoso?
I am nowhere near a musical genius, but I am good at playing by ear. I have excellent relative pitch, and when I was younger, like 3rd and 4th grade, and learning music in music class at school (clarinet), the names of the notes etc. were useless to me. I just imitated whatever the teacher played on the piano or whatever notes my classmates were playing. And I wasn't only limited to imitation, that was just a starting point, I could transpose, improvise, imagine harmonies in my head, etc. When I was younger than that, like 1st or 2nd grade, and we all had those white flutophones, I did the same thing. Standard notation of pitch was too cumbersome for me to have to decode, although notation of note length was not hard for me to understand. I could even imitate the flutophone sound vocally without using the instrument, and I did it often to my amusement when we were supposed to all be playing in unison. I used to get kids in trouble when we were all assembled in the cafeteria for lunch or waiting for the bus by doing note and tone perfect imitations of the flutophone with my voice (we weren't supposed to play with them during those times) and the lunch monitors would get all bent trying to find out who was blowing on their instrument and would always confiscate it from some kid who was unlucky to have theirs in sight...