Well, for example you could get similar groups of sick people together who are at the same stage of the same disease, and have half of them pray, and see how it goes. They actually do stuff like this and it never turns anything up.
By the way, with all of your weasely arguments, let’s get one thing straight. No significant number of religious people believe in some vague undefined god who hasn’t intervened in earthly and human affairs. We’re talking about people with more specific beliefs than “uh, there’s something out there, maybe”.
We’re talking about people who have a complex set of beliefs with generally an interventional God. Christianity is not just “uh, well, something had to create the universe”, it’s “My God created the universe, then created the earth in 7 days, and set the sun revolving around the earth, and created man from his image, and created woman from the first man’s bones”, etc.
You’re trying to act as though dismissing very detailed, specific views - much of which is contradictory or flat out wrong (ie the sun does not revolve around the earth) is wrong and arrogant because HEY MAN THERE MIGHT BE SOMETHING VAGUE AND MYSTERIOUS OUT THERE!
If your point is “we just don’t know” then you should be vigorously attacking the people that say “yes, we do know, and here’s god’s thousand+ page manual explaining the universe and everything”. We’re not talking about vague notions and being open minded - we’re talking about people who have structured complex beliefs around a certainty that there is a specific bearded guy in the sky and he affects the world regularly.
I still don’t think, weasely arguments aside, you don’t understand that your whole argument is attacking a straw man. Possibly excepting der trihs (and he should be excepted from everything because no one would ever deserved to be grouped up with him), is there anyone here who has expressed the idea that they know for sure all there is to know, and that they’re certain there is no intelligent force or being that we can’t yet detect or understand?