I'm also suspicious of the "law of nature" metaphor. It arose from deism, which is obsolete. But we also think in terms of laws because we prefer to personify and socialize, so we compare natural patterns to social dynamics that ought to unfold according to a plan or a set of good intentions.

The distinction between natural and supernatural is philosophical, but science implies an answer since whatever's susceptible to scientific modes of explanation will count as natural. Science objectifies, which is practically synonymous with naturalization. Then the question is what it means to objectify something. I address that in other articles, such as this one:

https://medium.com/grim-tidings/scientific-progress-as-the-ogling-and-ravaging-of-nature-cb1d1343aa3c?sk=ee62c41a69767f409d170f3b4b8cca7a