Almost always paid for by a separate drive. This assumption that there is some zero sum game is just an assumption.
1. A donation to a church-run charity pretty much 100% reaches the public.
2. A donation is different than tithes.
3. People tithe regardless of which charity they donate to.
4. Those who want the most money to actually reach the needy should donate to church charities because they do not spend their money on advertisement.
I would just love to see some documentation on number one Damo. Because I will call BULLSHIT on that right now.