Alex, this is the first time I recall those two together; I had to listen for awhile to distinguish between the two. I like that piano; when I can't name the piano man, but still like him, that's good.
"Newk" is jazzier, riffs more, while Hawk is old blues, "the mellow fellow"; just listening and letting Hawk soak in on "Summertime" . "Old Friends" sounds like Hawk on the lead off solo, but now I hear "Newk"; are they trading solos? This is good listening.
Enjoy the music.