Not relevant to the article.
Also, that study is extremely dubious/barring on fan-fiction.
Homer (if he was even a person) recited oral epic poetry (that we've lost most of) and we've written down an extremely lossy version of it.
Why should we take any of the mythical character's interactions with mythical gods as any insight for the brains of real humans???
It'd be like year 4000 historians citing World of Warcraft claiming the Lich King is a very obvious example that humans lack an internal monologue because he was not able to distinguish his own motives/actions between Ner'zhul/Arthas (both spiritual entities inhabiting the "Lich King" body).
I mean I definitely disagree with the book's argument, and you're right that it's making a different argument than the article, but I think straight up declaring it irrelevant is coming in way too hot. It's also an argument for a merging of separate mental structures that's sourcing the change in an event from recent natural history.
Again, I don't agree with the book's argument, but declaring an argument proposing a similar convergence on the basis of entirely different reasons to be not even mentionable in response to the article is just getting way too overzealous with comment section policing.