Maybe. The thing with her and Debbie that's so important is not just Blackfire seeing Mark, Nolan, and Deb as her real family and the reason she atleast tries to control herself, is that Deb also see's her as a daughter. A real one, not just an inconvenience. So Blackfrie surrendering to the harem is not just symbolically her surrendering to her new family, it's also Debbie symbolically puting Mark above her family.