These are the statements in the article that I accurrately represented:
The term “naturalism” has no very precise meaning in contemporary philosophy. Its current usage derives from debates in America in the first half of the last century. The self-proclaimed “naturalists” from that period included John Dewey, Ernest Nagel, Sidney Hook and Roy Wood Sellars.
[. . . ]
So understood, “naturalism” is not a particularly informative term as applied to contemporary philosophers
Naturalism (Stanford Encyclopedia of Philosophy)
The big difference is that, unlike "naturalism," general relativity and QM have not become recognized as vacuous ideas that no one can argue are true.
When you give your argument for "naturalism," be sure to define "supernatural entities" and cite the evidence about the "important truths about the 'human spirit'."
When you give your argument for the thesis of "physicalism," be sure to define "physical" and cite the evidence where a hypothesis about only "physical" things existing has been tested.
Be sure to explain what to do about nonlocal collapse of the wavefunction.