The majority of liberal academia claim the Greeks were very accepting and approved of homosexuality. Meanwhile a smaller group seems to be fighting against the notion that homosexuality was so overtly practiced and accepted.
One front of this divide seems to be the character of Patroclus in 'The Illiad' A minor character outside of his relationship with Achilles. But at some point more modern scholars have begun to portray them as lovers. I remember mainstream YouTube reviewers criticizing "Troy" for making them cousins as opposed to lovers. There's nothing in his original myths or the Illiad poem that states he's gay. He was raised with Achilles in Achilles' dad's court. There is reference to them being closer than brothers but that doesn't necessarily mean gay.
Do you see Patroclus and by extension Achilles as gay?
Unfortunately, I'm not up to spec on Greek literature. I only know Patroclus as the asshole son of Sophitia Alexandra. But now that you bring up his... relation with Achilles, wasn't it said that Achilles crossdressed once, going under the name Pyrrha?
Achilles' mother received a prophecy basically saying he'd either die young in war and be remembered forever or live a long fulfilling life and be forgotten. She wanted him to live a long life so had he (and his best friend/cousin/whatever) Patroclus sent off to live as women with a bunch of priestesses to keep him from being pulled into what would become the Trojan war. The two best buds were living it up with the young ladies when Odysseus figured out where Achilles' mom had hidden them (Patroclus was hiding from a murder rap) and went there with a beautifully made spear, knowing that Achilles wouldn't be able to conceal his desire for the weapon.
Through this ruse Odysseus was easily able to convince Achilles to join the war, and gained the Hellenes their most able warrior.
So yeah, he cross-dressed, kinda, so him and his best bud could live secretly in the girls' dorm and have the time of their lives until duty called him off to kill the enemies of their people.
I am not familiar with that Achilles story.
I googled and found....According to some post Homeric stories (including "The Achilleid" by Statius) Achilles cross dressed to avoid dying in the Trojan War.