Mature musicians generally say nice things about each other so I can easily believe what all these guys said. Most everybody mentioned is at the very top. There is a rule out there that you never speak ill of your fellow musician, even if you would never hire them to play with you. One day you may need each other!
I expect there are a few concert pianists who could play jazz better than the best jazz players. I wish I knew who they were.
Art Tatum. Too many of the same ole' runs. Much prefer Oscar Peterson and Erroll Garner.Tatum doesn't even come close to the abilities of a concert pianist. His greatness is strictly relative to the stride, rag time, boogie players of his time--not to concert pianists. I think Horowitz was just "being nice."
For me to be an effective contributor to the band, those tunes upon which they will improvise should be very well known to me: chord progressions, stops, rhythms, and versions. Actually I can't dissect even one. I can barely hum along.
We're throwing terms around that need to be defined so we know what we are talking about. So, what is improvisation? Is it made up totally from thoughts at the time of performance or in the case of Tatum based on a known tune? Would not it be more accurate to characterize Tatum's T42 as an arrangement?