It would be simple to fund a study where someone was kept under video surveillance for a certain period of time. Such a feat would prove supernaturalism true and would result in a Nobel prize in more than one discipline.

The website says there is evidence for the 'open-minded'. When there are good reasons and all the available evidence suggests a proposition is true, such language is not needed. If I believed in this I'd be begging on my knees to have this empirically tested by skeptics, and I'd produce a written argument that was at or near peer-review level for people to read, not just list my beliefs and link to a few religious blogs.

This is like flat earth theory, you 'have to find it for yourself with an open mind' instead of defending it like a normal fact.