Ok, I'm with you so far. And yay!
"Does science have any business in matters of religion?"
Rewind that a minute. The two statements are pretty much mutually exclusive. Whether or not science has a place in religion (Frankly, the more relevant question is the other way around, but I digress...) doesn't really have anything to do with the first. Studies of this sort have a duty to show people trying to get better are wasting their time, because very often, time is very critical in the recovery process. Making this a "religion vs. science OMG!" argument is...dumb. If they did a study showing that hopping on one foot doesn't help cure cancer, is that any more of an attack on Seventh Day Hoppists?
This has been today's attempt to start a fist fight. ;)