To me, the problem is simple. Anything I can think of that would be predicted by something that has no physical basis cannot be studied scientifically. Even if the prediction is true, how can the prediction be repeated? Obviously, some sort of advanced scientific knowledge gleaned simply from religion would be wonderful, but the lack of such proof doesn't mean other predictions are false.
For a personal example, my wife recently passed away at the age of 24. Ever since she was young she hated being alone. She had a vivid dream when she was a child that she was going to die alone at a young age. She also very much believed this dream, going to such lengths as going to work with her mom or always living in homes with roommates. She was also extraordinarily careful, trying not to do anything risky or dangerous.
Yet, after spending over 3 weeks together on our honeymoon, she died the day after we returned home while I was at work. It was the first time she had been alone in over 25 days. She died suddenly from a pulmonary embolism, without showing any symptoms during the weeks prior to her death.
In addition, just two months before the trip she emphatically warned me to not leave her at home alone. On her last day, I simply forgot about it and thought she would want rest (she had even wanted to go with me to work that day).
This, of course, is a one-time event and not reproducible. It seems very unlikely that a young woman would be in such fear of dieing alone at that age and, despite her best efforts, dieing alone. It could be a case of bizarre coincidences, but of course to me that also seems unlikely.