I don’t think the Spartans were noted at all for homosexuality. Even in City States where it was more widely practiced, it was still the but of jokes, no pun intended.
SPARTA By William Percy
At 12 each boy was taken by a 22-year-old “inspirer,” who
trained him for the next eight years. Then,as he “listener” began to sprout facial and body hair, he went on active full-time military duty and was assigned to a barracks where he had to sleep until he was 30, continuing to return to dine with his messmates. At 30 the inspirer married a girl of 18, who on her wedding night lay face down in a dark room in boy's attire with close-cropped hair, and henceforth he slept at home.