If it’s not a Bat Rogue (aside from maybe Lex and Darkseid) they tend to get punked pretty harshly. As opposed to Batman Rogues where Joker utterly curbstomps anyone besides Batman who goes up against him because he’s CUHRAZY! (Although Scarecrow does get treated pretty poorly so even there it’s not equal).
But yeah Cheetah should not be fodder for the Bat brats. What the hell was she even doing in Gotham? Why not have Jason kill one of the Bat Rogues?