The funny thing about the jokes concerning Batman and Robin is that historically, it was a common thing to happen, not the gay parts. Craftsmen for centuries took boys into their homes as apprentices, to train them up in their own speciality, so all Bruce Wayne did was find a boy whose need for Revenge was as great as his own and train him.
IIRC, Robin was not supposed to be so brilliantly costumed but in something closer to the Batman's own outfit but a combination of factors over-ruled this, including Kane's refusal to have Batman and mini-batman, thus the bolder costume.
Most of the gay jokes about Batman seem to have come about because of the television series and to be quite honest, they were just short of flaming in that. In the books themselves, Bruce Wayne had an active sexual life, as much as the times would allow and when he was older, so did Dick Greyson. My impression of the books did not show Bruce Wayne as the sort of date which a willing woman could not score with or be assured that no matter how willing she might become, her virtue would be safe.
IIRC, he had a sexual relationship with Catwoman in the books and they had a daughter. Now it's not that gays can't have sex and babies but I never saw Catwoman as the type that could accept sharing.
Finally, you could say much the same about Eb's taking Harry into his home. It is not as if the robes of a White Council Wizard are that macho to begin with. He sure as hell put Harry into as many dangerous scrapes as Batman did with Robin. All Robin could do was die, Harry could have lost his soul.
