Firstly, the correct form of the verb is ἑταιρέω.Secondly, I prudently provided a source (Liddell-Scott being the most reputable dictionary for ancient Greek), but you continuously fail to do for your own wild claims. As I said, after many warnings, I consider your inability to support your arguments, by citing either ancient passages or modern scientific papers, as a clear sign of conceding defeat. Your ''Christian'' deflection is irrational, does disprove your earlier claim, as you now admitted that ἑταιρέω does not necessarily mean homosexuality and is of course directly contradicted by Liddell-Scott, which brings up many extracts that were not written in Christian environment and where ἑταιρέω obviously means prostitute oneself. Also, there are male prostitutes, popularly called as gigolos. Why are you so adamant that there was nothing homosexual in the relationship between Patroclus and Achilles, that you are ready to endorse the propaganda of homophobic and nationalist blogs, at the expense of methodologically acceptable evidence?
Sorry, but I don't believe in magic. I doubt that the comprehension of history is a biological trait that is miraculously transmitted to anyone imagining himself as belonging to the same tribe that continues to exists for millennia. Simply put, historical research only requires two essential principles: Firstly and most importantly, a genuine desire to explore the historical past, in order to catch a glimpse of the truth. Unfortunately, our world today is filled with self-proclaimed fans of history, whose only concern is how to distort it, in order to glorify xenophobia and justify their chauvinistic drivel. Secondly, a solid reliance on primary sources and peer-reviewed secondary bibliography is also necessary. Buying a ticket, taking the bus, visiting the nearby university's library and immersing oneself into academically praised monographs and prestigious journals is much more productive and enjoyable than blindly adopting hateful manifesto spammed by fascist bloggers and militaristic websites. In any case, if you still insist on only Greeks being capable of understanding homosexuality, here are several passages from three pretty Greek authors:
An orator, a tragedian and a poet walk into a bar...
There are more relevant passages made about Achilles' bisexual orientation, but these three suffice, I hope. The implicitly racist fallacy of only foreigners being "ignorant" enough to perceive Achilles and Patroclus' "friendship" as sexual is evidently false.
For whoever is honestly interested in the subject, Achilles in Greek Tragedy (from p. 41 and written by a Greek Professor, Mr. Michelakis, by the way) provides an informative summary of all the authors that denied or recognized the homosexual relationship between the two legendary warriors. Again, to repeat, there is nothing morally reprehensible about it. Homosexuality between soldiers is a rather widespread literary pattern (Xenophon in his Cyropedia describes it nicely), which is easily explained by the strong bonds between men fighting for their survival and the worrying absence of available women. Ironically, nowadays homosexuality is considered too effeminate to match the ideal image of an alpha male, which is the reason why nationalism attempts so hysterically to falsify the historical record, with the intention of not disrupting the carefully built supremacist narrative of the tribe always being masculine, tough, heroic and etc.
Quite tragicomic, in my opinion.