I'm not sure I know an album where Parker plays it without Hamid being there too. Some sleuthing brought this up as a possibility https://www.discogs.com/release/10654938-Gary-Joseph-Hassay-Dave-Liebman-William-Parker-Tatsuya-Nakatani-Deep-Within   As for the other clue, there's a Taiwanese free jazz player who I can't think of right now

Hell of a tenor sound...

You're not far off on the folk element geography. I was worried that maybe I was hearing things, so I'm glad that my hint made at least some sense to you.  And you got William Parker on 9. Not Hamid Drake or Carter though...

Lao Dan was my banker, I'm sure I could hear Chinese folk elements having listened carefully as suggested... Now I could start listing shakuhachi players but I won't. With Shabaka and Andre 3000's flute playing it's had a bit of a revival I think. Unless you're being a bit sneaky and it's William Parker, the percussion could be Hamid in that case. The second flute player Daniel Carter And that's my last guess, I promise