It amused me to hear Dusty Springfield's "I Only Want To Be With You" used as bumper music for a particular talk show years ago. The song is catchy, accessible, and concise. It also had nothing to do with the show itself, which was a platform for callers to posit conspiracy theories and discuss UFO sightings.
If you're the host of a show and really want to spotlight a particular song, however, there are times when you might be resolved to shoehorn it in--despite its lack of relevance.