Sports bars and such pay very high cable/satellite fees based upon number of seats in their establishment. Those fees are in part passed on to the networks and also viewership at those establishments is factored into ratings.
So what? How does the NFL's contract with the broadcast networks bind the church? Unless the church has something in their contract with the broadcast host or the company hosting the broadcast, such as the cable or satellite company, how is it that the NFL can say what a church can or can't do as to private viewership?