Jazz stations should definitely play all the various representations of jazz, imo. I would trust that any given radio DJ would select what he/she considers the best track off a given album no matter what it is. It can't be all one style, all the time. Play brand new music, really old music, really strange music, music that swings, music that's funky, music that's way out there...that would be my preference anyway. How else is anyone going to learn about all that jazz has to offer? I read discussions here about music by artists I have no idea about. There should be a place for all of it on jazz radio, imo.
It would actually be my preference to hear the music on the radio change styles on a song by song basis. Juxtapose, baby!