The Mission of the Church?

In both 2005 and 2011, Christmas Day fell on Sundays. At those times, there were controversies because some churches decided to cancel their regular Sunday meetings. For example, Cally Parkinson, a spokeswoman for Willow Creek Community Church in South Barrington, Illinois, said that church leaders decided organizing services on a Christmas Sunday would not be the most effective use of staff and volunteer resources.

Parkinson noted that when the church remained open for service on Sunday of 1994 (the nearest Sunday previous to 2005 that was also on Christmas Day), only a small number of people showed up to pray.

"If our target and our mission is to reach the unchurched, basically the people who don't go to church, how likely is it that they'll be going to church on Christmas morning?" she said. [From an Associated Press article: "Some Megachurches Closing On Christmas".]

The question I would like to raise here is this: is the mission of the Church properly defined as reaching the unchurched? Why or why not?

Comments are welcomed.