My point is that the people who went to Jerusalem or some other traditional place of religious pilgrimage, and then manifested the "Jerusalem Syndrome", most likely were not indifferent, religiously neutral tourists.
I am quite sure they went there with some more or less clear religious motive already, so that when they manifested the "Jerusalem Syndrome", I suspect this wasn't something that befell them right there, but was a continuation of something that started already back at their home.
If you go seeking a miracle (or ghost) you may find one.