Thinking more about the rumour if how Bruce Wayne acquired his two eldest boys because they both are carbon copies of him and everybody at first thinks that Bruce fathered them with the same woman on the side but for some reason didn't marry her or couldn't for some reason but then...
Then Superman flies into Gotham to rescue Bruce and the kids. And everybody is like, "wait a damn minute" because while Dick and Jason are copies of Bruce, they do sort of look like... And Superman is very intimate with them, hugging Dick and crouching down to talk to twelve year old Jason who looks a little wary and then there's Bruce. There's Bruce, who is smiling, not that ghastly social smile or that flirty smile but something real, and he looks so comfortable around Supes and... Did Superman just brush something off Bruce's Wayne face? Immediately rumours start spreading and Gotham has a new reason to loathe Big Blue from Metropolis:
Superman: Don't be afraid, just take my hand and we will get you somewhere safe.
Gothamite, clinging to a lamppost: How about fuck no?
Superman: um, excuse me, sir?
Gothamite: You think I'm letting you fly me out of here? Taking me off to god knows where? So you can what?
Superman: Save you?
Gothamite: Oh, like you "saved" Bruce Wayne? Got him pregnant with two babies you don't pay child support for or even visit? They're beautiful boys but I'm not having no alien baby key alone with some deadbeat baby daddy.
Superman:
Batman, deadpan: I'm mean he's right, Superman. You did me wrong like you did Bruce Wayne. Two babies and no daddy.
Gothamite, angrier now: YOU KNOCKED UP THE BAT TOO?
Batman: He won't even visit us any more. Nightwing and Robin miss him so much.
Superman:
Nightwing, holding Jason Todd, both looking like puppies in the rain: Daddy?