They might have gone home for the holidays, but that does not mean they didn’t work in their districts, which they usually do.
Technically, Obama’s “home” is Chicago. However, even though he owns a mansion there, it’s obvious that the climate doesn’t agree with the poor baby and besides the golf courses probably aren’t as good and aren’t playable at all in the winter...so why not choose Hawaii as his home. After all, the people who covered up his birth certificate are there, and home is where the heart is, right?