Every Super-Bat counterpart is heavily shipped by fans and that's no exception. Come on, man.
Kara's most iconic love interest is probably Brainiac 5... Or the horse, if we're counting memes.
As for Barbara, man, she can't get a break. The weirdest thing about this whole thing is that Jason really wants to be Dick Grayson, doesn't he? He followed him as Robin, post-IC he tried to be Nightwing, and he's now chased after both his ex-girlfriends. It's getting a little creepy, man.