Crucially, Jayne's definition of "consciousness" is basically introspection. If you replace the word "consciousness" with "introspection", all the controversy evaporates and the story becomes (only mildly) interesting.
> Jaynes ... decides to read early texts, including The Iliad and The Odyssey, to look for signs of people who aren’t capable of introspection—people who are all sea, no rime. And he believes he sees that in The Iliad. He writes that the characters in The Iliad do not look inward, and they take no independent initiative.
Suitcase words like "consciousness" are tricky to work with.