As I said before Rational I think anyone relying on faith and not medicine is bonkers, and that is very sad.
Yes seeker it bothers me that a baby is prayed and prayed for and died. It happened to a friend of mine last year. It is deeply sad and I shouted at God.
I cannot explain it all at all. I am aware there are not corroborated reports. There was a couple in my old church who went for a 20 week scan and were told their baby had a cleft lip and palate and a heart condition. People began to pray. They went back a few weeks later and the baby had no such conditions. They showed us before and after scan pics. I still realise this means nothing. The doctors were flummoxed. It must be recorded somewhere. I think there are not any, or many, because these things are usually explained away - you get the term unexplained sometimes, or a medical miracle - who knows.
I do think it is rare. My friend with the damaged spine was in a wheelchair and is running around. Is she making it up? More times than not though it doesn't happen, as I know myself. I cannot form wonderful theologically correct answers, because there isn't any.
So yes, these things bother me, because I am a thinking person. I continually question, and I continually believe, because my experience of an awesome God carries on regardless.
But yes - it's impossible to quantify these things, and I have no doubt whatsoever some reports are false and some wishful thinking. But I know with all of myself some are true and lasting.