I tend to agree with Dumpy Mama, Mike. I do find it very difficult - as a non-organist - to draw the kind of line you're drawing between the musicians you've listed (plus, I guess, Shirley Scott, WBD, Dr L, Groove and Earland, all of whom I think you would have listed had you been trying for an exhaustive list of THE guys), and players like Baby Face Willette, Rhoda Scott, Freddie Roach, Bu Pleasant, Sam Lazar and Lou Bennett.
To me, there are four innovators of post-war jazz organ - Wild Bill Davis, Baby Face Willette, Jimmy Smith and Larry Young (of course, neither Willette's nor Young's ideas caught on, but those innovations are still there).
I've no doubt you've got reasons for making the distinction you do, Mike, but are they reasons that non-organists can get?
MG