I just don't think the songs go over very well.
I think if you play games like the following:
Irish Drinking Song
Doo Run Run (Not Doo Run Die)
Try that on for size
Hoe Down
Questions
to name a few, they are chosen because you are skillful at them. This is a personal preference, but whenever I watch shows and there is a song that doesn't have a story throughout, I don't think there is justification of doing it. And rhyming a full story is very difficult. Not ragging on us, just saying it is not our strong suit.