Only until the next movie which also takes place on Christmas Eve. I feel if anything DH2 is more of a Christmas movie as opposed to a Christmas backdrop (which would also make Child's Play a Christmas movie in this regard) since what would Christmas be like stuck at an airport vs a party in a corporate building with terrorists. A Christmas movie would require a focus in the season or else it's merely decoration like Walmart on Halloween. Don't get me wrong, I don't think DH2 is a Christmas movie either.Of coarse Die Hard is Cristmass movie. While the holiday isn't the main focus of the story it is still a major part of the backdrop. The soundtrack even had a christmas vibe to it. (Iirc) They even threw in the cliche mistletoe scene.
Theme wise the story goes along with christmas movie. John McClain starts off a an A-hole but through his ordeal he transforms and rededicates himself to be a better father. Similar to George Bailey in Its a Wonderful Life.