Actually, the chromaticism is what sticks out to identify most easily with perfect pitch.
Yeah but to identify chromaticism specifically in one given key and with/without modulation. Even if you have perfect pitch, and you hear specific notes, the overall phrase structure and cadences are a mystery, unless you are able to hear functionally. People with perfect pitch don't necessarily have to be musicians…So how could they hear functionally? And how could you have perfect pitch if you can't hear functionally? If someone had perfect pitch, but never saw or heard a piano, how would we as musicians understand that this person had perfect pitch?
You can't simply name notes or frequencies without understanding the difference between high pitch and low pitch, octaves and hear compromise in different tuning systems. Otherwise, perfect pitch is too similar to relative pitch, especially from what you tell me.
You say that perfect pitch can get rusty. I often hear b or even (god help me) b flat intend of c, and I am just tuning to sing a tonic of a key. Musicians with perfect pitch, such as Shostakovich, have reported that eventually their pitch would change, and no matter what they did, they would hear a few pitches lower or higher.
I just find it interesting and very mysterious.
P.S. I am not trying to be rude, just think it is a wonderful topic for discussion