Finally SOMEONE SAID IT
We don't talk enough about how superbat is that one gay couple that literally looks like twins
When they go public all the media headlines are like "The Only Man That Can Tame Bruce Wayne Is..... Bruce Wayne" and "Bruce Wayne Dates winner of his own look-alike competition". Bruce proudly embraces this, going on interviews and joking about the importance of "self-love", saying he's not surprised that him and his fans have the same type. This becomes a meme about how everyone Bruce surrounds himself with looks like him, from his kids to his partners.
At the Planet though, this brings back the rumors that Clark runs away every time superman shows up because they dated and had a messy break up. Everyone pities Clark since he's clearly not over his ex. Why else would he date the most well-known superman lookalike. The office held a betting pool on how long the Brucie rebound will last but it's been much longer than they expected. Lois keeps spreading more Clark/Supes rumors because she finds it hilarious and makes alot of money off the betting pool. She buys Clark's coffee every morning to make up for it.
This only gets worse as they keep dating and start sharing clothes. Damian once mistook the back of Clark, who was getting ready for a gala, for Bruce. He remembers this as one of his greatest failures.