I agree that the line doesn't mention Christmas, but that doesn't mean the line isn't from a Christmas carol (the whole song, as a matter of fact, doesn't mention Christmas). I'm an atheist raised in an atheist household, but my grandfather on one side was a Presbyterian deacon and I attended a Catholic grade school. Believe you me, if you sing it in the church choir at Christmastime, it's a Christmas carol, whether it explicitly mentions Christmas or not.

It never, not once, ever occurred to me that the Yuletide organizers (who I know and respect) were intending to separate the fic exchange from Christmas, because it has all the trappings of a Christmas item: title from a carol, Santas, gifts given on Christmas...and there isn't anything at all wrong with that.

But I'm completely confused when anyone insists that it's NOT meant to be a Christmas thing. Because...it patently is. If it wasn't, it wouldn't be wearing a Christmas frock. It's not a totally inclusive and nondenominational fiction exchange.

You're free to interpret how you like, of course, but I'm free to think your interpretation is incorrect.