More On the Origins of Bebop: "Max Is Making Wax" (or, "Bop ba ba di ba do di la be de bop")

From an interview with Dizzy Gillespie in Art Taylor's Notes and Tones:

Where did the term be-bop come from, and what are your feelings about it? 

Duke Ellington once told me: "Dizzy, the biggest mistake you made was to let them name your music be-bop, because from the time they name something, it is dated." 

They who? 

Whoever named it; I don't remember who named it. I think it came from when we were on Fifty-second Street. We didn't have names for all our tunes, so I would say: "De bop da du ba di baba de bop," and they thought I was naming a tune or something like that. 

Bop ba ba di ba do di la ba de bop. 

Yeah. That was the introduction to "Max Is Making Wax." That's funny. I hummed the introduction, and you started the chorus. I guess it just happened from the way we used to hum things instead of saying the name of the tune. Say you play a number that goes be-bop. It just developed into that. I never thought of the term be-bop, and I'm sure Yard, Monk and Kenny [Clarke] never thought of the term be-bop.

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I hadn't actually ever heard the introduction Dizzy refers to here until I found this jam session version with Miles from 1950:

The version I'm more familiar with is Bird and Howard McGhee's from the 1946 "Loverman" session, which features a rapid-fire improvised intro by pianist Jimmy Bunn, joined by Bob Kesterton on bass and Roy Porter on drums (anybody know more about these musicians?).