What follows is an epitome of Nagy 2017§§107–108:
[§107] In the deliberations, as narrated in Odyssey 3, about two alternative ways for the Achaeans to sail home after their conquest of Troy, one of the two ways was to take the sea route north of Chios, thus venturing into the open sea and heading straight for the island of Euboea, O.03.170–171. The alternative way was to take the sea route south of Chios, O.03.172. That was the safer way. Nestor goes on to say that he and Diomedes and their followers, before deciding which sea route to take, had consulted a divinity, not named, who advised that they should head straight for the distant island of Euboea, thus taking the more direct sea route, O.03.173–178. In this version of the story as transmitted in Odyssey 3, Menelaos and his followers sailed along with Nestor and Diomedes, Ο.03.276–277. Or, to say it more precisely, Menelaos sailed with them at least as far as Cape Sounion.
[§108] Here I reconstruct another aspect of the alternative version of the story, originating from Lesbos, that told about the deliberations following the sacrifice performed by Agamemnon at Lesbos. After the deliberations, Agamemnon did not sail along with Nestor and Diomedes, and, instead, he took the more indirect sea route after he left Lesbos, while Menelaos, unlike Agamemnon, had taken the more direct sea route, choosing the same way that was chosen by Nestor. In terms of this alternative version, I argue, the deliberations about choosing between more direct and less direct sea routes led to a quarrel between Agamemnon and Menelaos, who disagreed about which way was the right way. I see an irony built into the idea that the setting for the quarrel would have been the sacrifice at Lesbos—and that Menelaos had been late in arriving at that ritual event. And, as I have already noted [§101], he will also be late—eight years too late—in arriving back home, O.04.546–547, even though he had chosen the more direct route from Lesbos.