I think much of what Buddy did with Bing is invisable to most of us a listeners and fans.  Was not Buddy the piano player in a great many of Bing's radio and studio recordings with John Scott Trotter's orchestra?  As leader of the rhythm section (piano, bass, drums), I suspect he was an invaluable collaborator in many of their best arrangements, if not the chief arranger in some instances.  Not to mention, that it may have nearly always been Buddy who dropped by Bing's house to run through new songs on the piano, as Bing was not fond of doing more full rehearsals at the studio than were absolutely necessary.  Then, too, I suspect Bing admired Buddy's versatility on a variety of keyboard instruments (piano, pipe and electronic organ, celeste) and his ability to play across so much of the vast septrum of styles, moods, and themes Bing's singing encompassed.  Might we have wished that Buddy was a bit more hip on some of those organ accompaniments in the 1950s, perhaps....  I have the HOT & COLE lp.  It's not beebop, but it's pretty cool.

That Jasmine CD seems like quite a bargain.  Richard, thanks for posting about it.