I think it's an affectionate parody of old-timey 1950's Christmas specials, Artie mentions the Judy Garland Show Christmas Special. But yeah... you kind of have to be familiar with the original source material and a fan of them in the first place... which I am not. It seemed really awkward to me.

And I'm not happy that they sped up "Let It Snow." It could have been BICO v. 2, all romantic and classic. Instead it just sounded rushed.