Yep it is.
I see the song as generalized, and probably implicitly addresses some characters the author didn't intend.
The CTH article, and many supporting articles, fleshes out the real characters and story; adds the real actors and scenery, and details the plot to the play.
Become the kind of person that when your feet hit the floor in the morning, Satan groans and says, "OH NO, HE'S AWAKE".