There wasn't quite the sharp division of disciplines, either. Thinking about it that way comes from the public school system (which the author ought to know, because if I'm not mistaken, he mentioned that in a previous essay). Mathematics (which didn't warrant a mention as a bet that paid off in a blurb about the guy that invented calculus), metaphysics, and the natural sciences were all areas of study, but they weren't different bets: they were interrelated components of our understanding of the universe.
I think you are agreeing with the author, who is trying here to refute the misconception that Newton was simultaneously a brilliant, grounded, impartial truth seeker who discovered physics and a batshit conspiracist who dabbled in alchemy and theology.
Well, PG presents them as different bets, one of which paid off. They were the same essential bet from Newton's perspective. For example, books on physics at the time referred to religion heavily, sometimes as a cornerstone of an argument. Even Newton's Philosophiae Naturalis Principia Mathematica says "Collocavit igitur Deus Planetas in diversas distantiis à Sole, ut quilibet pro gradu densitatis calore Solis majore vel minore fruatur."
That's a very interesting insight, but isn't it also true that Newton decidedly left theology out of calculus and mechanics? What distinguished his three laws was that he chose not to explain, for example, the motion of something by its "ferver" or "jubilance," as his predecessors did. People at the time may not have treated the fields so separately, but Newton did.
Edit: I just ran the quote through Google Translate. Still, merely casting God as being ultimately responsible is a step forward from interweaving theology throughout your physical theories.
"This Being governs all things, not as the soul of the world, but as Lord over all: And on account of his dominion he is wont to be called Lord God Pantokrator,or Universal Ruler...." and, like, this stuff is all over the place in the Principia. You cannot separate Newton the theologian from Newton the mathematician from Newton the physicist.
I'd say co-invented would apply more if he worked together with Leibniz on it. Instead, they both invented it independently, around the same time (with differing notation, but both gave the means to reach the same results).