I listened to this at Marty's suggestion and my reading is very different. They have a nice rapport, lots of laughing, and while Jarrett's ego and self-importance are certainly on display (when are they not?) I don't find him the least bit disrespectful or condescending to McPartland. Also, he does not refuse to duet with her. In the course of conversation, Alec Wilder's tune "Blackberry Winter" comes up and McPartland asks Jarrett if he will play it for her, at which point he declines, saying "I don't know it well enough right now" and then, picking up an earlier thread in their conversation, he makes a lighthearted joke about not only not being able to remember his own material but other peoples' as well. McPartland then asks playfully he would be annoyed if she played it. He says "No, no, no. Why would I be annoyed?" The exchange sounds completely innocent to me, almost charming.
I certainly wouldn't defend Jarrett's jerkier moments, but this show hardly qualifies.
That's about the way I remember hearing it at the time, too. He seemed almost shy in conversation, and caught off guard when asked to play the tune, like he didn't want to make a mistake.