Phronesis
Headphoneus Supremus
Ah, I misunderstood, my bad.
From the recording we cannot tell how improvisational it is. He may have worked it all out over a long period of time and simply be replaying it, rather than spontaneously improvising. This sounds like more of a put down than intended because even if it was all worked out, it would still demonstrate a great deal of talent even for a good adult professional with many years experience. If he can freely improvise with that level of sophistication though, then yes, that makes him special, even compared to the surprisingly gifted! My background was classical music though, so I'm not especially sensitive to all of the nuances of jazz.
You might like to try something like example below if you're into classical. Having a level of technical ability which puts you among the ranks of the elite soloists when just a child is truly extraordinary but what made my jaw really drop at the time was that her technical ability was not the end of the story but only a means to an end.
G
Jaw dropping indeed, literally took my breath away. For me, that performance is beyond art and closer to something spiritual.