But hey, if folks think that Bruce is Superman and that Clark is Batman then why shouldn't they think that Lois is Batgirl?
Well... I won't spoil the next stories, but if anyone ever thinks Lois is someone, there's a better chance of it being Supergirl than Batgirl. Especially considering Supergirl was at one point seeing Lex Luthor, in the comics, until she realized that he was evil. Sound familiar?
And there you go.. I've probably said way too much now...