"Saying the supernatural "cannot be studied scientifically" is neither open-minded nor scientific in and of itself."
OK, then. Suppose you tell me how the supernatural might be studied using the scientific method. Just a general outline will do.
Science deals with the physical world around us. That is all it can deal with. We have no tools with which to measure what is not part of the universe we inhabit.
There is no godmeter. There is no way to put deities under a microscope. The largest telescope can see nothing that doesn't exist in temporal space.
So, how do you propose that science would investigate supernatural phenomena. It cannot. So science simply ignores the supernatural, since, by definition, science cannot study what is not part of the physical universe.
Maybe that's all science has been doing all along. Do you really think that attribute of "supernatural" as applied by each and every observer establishes the nature of what is being observed? Is human understanding the sole determinant of what is or is not supernatural? Why should such an arbitrary attributition be accepted as "scientific?" Because you, or some other observer says so, or because a whole group of observers happen to agree? What if God is ultimately as "scientific" as it gets? Is it our understanding, or lack of understanding, that turns Him or His works into something else?
1. How do you know?
2. There is no way to put the force of gravity under a microscope either.