I don't disagree with you at all. But the claim in the OP is that Hawking ruled out ANY Gods (supposedly)...
No gods at all may have been a concept developed later in the thread from the totality of Hawking's writings, but the quote in the original disputes "God," in big-G notation. If he does not define that further, then I assume it means a common definition. An author need not define every word he writes if the meaning he intends is what he trusts the reader to arrive at without help. And in this context I believe that meaning is the God most widely understood by average English-speaking people. It could also include any deity that is substantially equivalent, e.g., Allah.
From Hawking's context I infer he means a god that interacts with the universe in the way Western worshipers describe: one that heals the sick, speaks to the hearts and minds of his devotees, effectuates miracles, has created the universe and takes part in it as a going concern. You know, a god that matters. I don't read Hawking as having precluded the existence of gods that don't matter, and we've addressed that at length several times in this thread. My purpose is not to re-open that debate. It's instead to note for the record my conclusion that I'm not convinced by arguments in favor of immaterial, ineffectual, unobservable gods as a way of skirting Hawking's line of reasoning. That's entirely pyrrhic in my opinion.
...and the argument is an undetectable God could still exist.
Which, according to how I read the OP, recasts what Hawking meant by god and what is meant by existence. Hence I am not convinced. That is my conclusion.
I suppose that is true. But why should I even entertain that such a god might exist?
Or, in Joe's terms, why should we keep riding the merry-go-round? We don't have to. We've pointed out that in order to refute Hawking, his critics have to recast too many things in order to leave a refutation with a footing any surer than snot on Teflon. It smacks of unprincipled wordplay and, as such, fails to convince. Repeating it doesn't obligate us to question the conclusion we drew the first time.