The song sounds like a satire contrasting the easy listening of the music to the content of the lyrics. It's like saying Sympathy for the Devil is making light of war crimes.
If you think it fails in that regard that's fine, but comparing it to Baby it's Cold Outside is asinine.
There is plenty of violent and unsettling music out there created for various reasons, but that kind of music is not played every 35 minutes in the radio during Christmas time and treated as wholesome and full of good cheer.
XI Wiki



