This is likely not an engineering issue, per se. Rather, it's bad discretion on the part of the music director. Since the Fox doesn't exactly have the market cornered on "deep cuts", I would peradventure that most any song that fits into their format (as they have defined it) would be commercially available or even easily obtainable through a service such as TM Century.
On a similar note, I've noticed that the Fox is playing an edited version of The Who's "Who Are You". The original album track contains the F-word in a couple of places. In 1978, MCA records issued this song to album rock stations on a promotional 12" single that was edited just enough to remove those words while sacrificing only a few seconds of the song. (On the 7" single, the group actually re-cut the vocal track in one place so that the lyric was "Who the (hell) are you" instead of the original "Who the f*** are you")
Now with the ability to edit audio digitally, the Fox has essentially attempted to re-create the 12" promotional version, edited just for AOR radio. Unfortunately (unless they've changed it since the last time I heard it), the editing was not only noticeable, but blatantly awful. Where the editor made the cut and splice, the beats didn't match up. It's off by almost a half a beat. I ripped the original track from a CD and made a similar edit myself using Cakewalk Music Creator 2002 on my laptop and I made sure mine was perfect before I saved it. Anyone out there need some editing done??? LOL