I've listened to many stations that are live, but not local. WKOM in Columbia comes to mind as a perfect example.
And I once worked for a station that was local, but not live. We were automated, with reel-to-reel tapes for the music, and carts on a rotating carousel for the commercials, promos, etc. We recorded our station "liners" on another cart, and those played back every 15 minutes or so. It looked like something out of the '70s, and had probably been there since then, but this was in the early '90s when I worked there. They updated their programming somewhat after I left, but I did not stay around long enough to witness it.
And I once worked for a station that was local, but not live. We were automated, with reel-to-reel tapes for the music, and carts on a rotating carousel for the commercials, promos, etc. We recorded our station "liners" on another cart, and those played back every 15 minutes or so. It looked like something out of the '70s, and had probably been there since then, but this was in the early '90s when I worked there. They updated their programming somewhat after I left, but I did not stay around long enough to witness it.