He's always been flamboyant, but the degree of his gayness varies depending on the story and writer. Sometimes he's just being a lovable troll, sometimes his obsession with Batman is so intense that it turns into a sick form of love.
Don't listen to the autists that try to tell you otherwise like >>99424209
when there are way, WAY too many stories DC's been putting out lately that emphasize the latter example, like Europa, Endgame, Death of the Family and White Knight. At this point it's definitely their favorite way of writing him.