Can Science Test Supernatural Worldviews?

The following is a well-known paper supporting the claim that science can test supernatural worldviews:

http://www.naturalism.org/Can%20Science%20Test%20Supernatural%20Worldviews-%20Final%20Author%27s%20Copy%20%28Fishman%202007%29.pdf

This article shows that even many noted theologians think that religions do make testable claims:

https://whyevolutionistrue.wordpress.com/2015/03/03/a-new-book-on-science-and-religion/