JJ isn't Korean though, he's Filipino, so why would they give baby a Korean name? If her heritage is Filipino, then if they are going to honour/ respect/ acknowledge that she is part Asian then they they should do it correctly? Or are they so racist that they think that 'Asian is Asian' so don't really make any difference? Even if she was conceived in an abusive relationship there is no concealing the fact that she is going to look different than the other members of the cult/ the white shirt family and one day she will be old enough to question what her heritage actually is. They don't have to embrace JJ, but they do need to embrace that she is a child of Filipino heritage. The whole Cleopatra being called by the Korean word for mother is just saying right from the start that this baby is 'general Asian'.