No Holiday music?

No, but it does have the holiday wind, blowing snow sound. Which is nice.

If there was music I'd play with sound on but since there's isn't then sounds off.
Always nice to have the music for events.

I don't think there has ever been Holiday music for the Christmas/Winter events but it would be nice to have different music for every other event. A lot of the music used in TSTO is from The Simpsons Game and there's plenty of music from TSG that EA can use for events. In TSG, I think either the first level's (The Land of Chocolate) music or the final level's (Game Over) music should be used for the Christmas/Winter events.

The Land of Chocolate:
https://www.youtube.com/watch?v=r-VyoLUErYQ

Game Over:
https://www.youtube.com/watch?v=GA94nigy6uI