If they were, it has nothing to do with nature being supernatural. It just means that nature’s state is not locally real. That does not tie into religion in any objective way.

In addition, both of those articles are (slightly) wrong. There was a lenghty discussion about how in r/physics when they came out. The tl;dr is that it boils down to:

• locality
• realism
• independence of measurement

Pick two.

But that has no relevance to religion other than you can make either philosophical or religious argument out of anything.