This is funny! I love it when jazzers get all opinionated and touchy and insistent about the "correct" way to improvise! They are worse than classical musicians, who many of the jazzers belittle on the grounds that they are "not creative", and "stuck in orthodoxy" and c**p like that. And here go the jazzers creating their own new orthodoxy. Gezz Louise.......
Anyway their approaches are the products of their respective upbringings and educations, in very different places. Wynton grew up in New Orleans, the " Old Vienna" of Jazz if you will, and was exposed to and influenced by a lot of older or "traditional" jazz. Not sure offhand where Jarret comes from but he was one of the many young proteges of Miles Davis, and at a time when Miles was breaking out of the traditional jazz mold of combo swing feel music with acoustic instruments and doing stuff that alienated large segments of the jazz community at that time, like "Bitches Brew" and it's use of Rock materials and electronic instruments. Keith was on the next Miles album after that, which was acoustic and a throwback to the Miles of the 50's, but kind of removed fron that style, very lean and esoteric. Whereas Wynton was raised by his father (Ellis Marsalis a fine New Orleans pianist) to "carry the torch", and "keep the old ways alive" and so forth, Keith grew up under the influence of a powerful musical personality (Miles) who was always seeking to redefine himself and be original and unique. So it's not surprising they have turned out the way they have, they are influenced by what worked for them early on, and have stuck with it.
BTW Wynton's Jazz Orchestra of Lincoln Center purports to preserve traditional forms and styles of Jazz, but sounds very modern in spite of that, because the players are younger and are influenced by music of today and the past 40 years; it is part of their background, and they should not and can not deny it.
And Keith's "organic unconciousness" relies a great deal on traditional forms, i.e. standard jazz tunes, not to mention his classical playing. These influence what he does because he absorbs them and they become part of that "organic unconciousness" that he feels makes him so unique and special. So he is either deluded or misinformed. NO ONE is entirely original, we are all influenced by music we have heard before, whether we like it or not.
And so they are both right AND wrong, and for them to set up an orthodoxy regarding this matter is evil and absurd; if you want to improvise like Art Tatum, do it; you will sound like a copycat, if you have nothing else to say; If you have something to say, people will hear it, and you will be "the cat who sounds kinda like Tatum" to most ears, ala the Lincoln Center Jazz Orchestra. And by all means do what Keith does, do your own thing, but don't believe for a second that it is "enirely original and unique"; it might be to a greater extent than the Tatum fan, but so what? There is no law, do what makes you happy, you're the one who has to play, and the opininons of listeners are valid too, if you perfom....