@kkfengdao,
I think the purpose of the season's greeting is to take care of everyone who is celebrating something in December, be it Christmas, Kwanzaa, Hanukkah, or whatever else. It generally includes New Year's Day, too. I've known a few athiests who put up a Christmas tree because it's fun to decorate and celebrate, even if you are not celebrating Christ's birth.
By greeting someone this way, the intent is to not offend someone who may be celebrating something different than Hanukkah, Christmas, or what have you. But of course, using this greeting almost always does offend someone with strong beliefs.
My philosophy is to give Christmas cards to those who celebrate Christmas, Kwanzaa to those celebrating that, and Hannukah cards to those of the Jewish faith. If you aren't sure, then take a risk and send the "Season's Greetings", or better yet, risk offending them by sending them a card with what you are celebrating.
Companies often send out Season's Greetings to clients/employees so as to not offend anyone.