Church, ballpark, skating rink, etc are all large venues. Organs and organ playing in those days were designed to reach a large audience with one loud instrument. They were loaded up with overtones and throbbing vibrato to create an all-encompassing sound in places where the acoustics might not be that good and audibility trumped subtlety. I remember in skating rinks it was like a wall of continuous sound. Very little space. You could barely make out the tune (and then it would turn out to be the Hokey Pokey) but there was a beat of sorts. That style does not work all that well in a jazz setting. It has to be toned down a bit or it overwhelms everybody else playing. All those overtones are muddy! For me the organ didn't really come into its own in jazz until Jimmy Smith.