Why Share Information About Charity Efficiency?
Most people experience downward sloping demand curves for most things.
If the cost is lower, demand goes up.
I sold everything I had to give alms. I like to imagine this is because Jesus said to do that in Luke 12:33-34, but if it was 100x more expensive to save a life, it would be a much more difficult thing to persuade me of. You could probably get me on an argument like "being sick with a deadly disease is horrible far more than ~$700 is good for me". But if it was 1000x more expensive? I probably would not have chosen to do it.
And then I would not have made any spiritual progress towards loving my neighbors at all. At some point, charity stops being a useful religious rite, because you'd have to already love your neighbors far more than yourself before you'd engage at all, and if you're there, you've already gotten almost all the spiritual gains the rite is meant to instill!
By persuading people extremely valuable opportunities exist, we can build habits that can completely change lives. It's changed mine (although not as much as I'd like -- I'm still in progress, ya know?)