It looks like Dellacroce had power over three crews in the Gambino Family while being the underboss. These three crews (although based in Brooklyn) were the "Manhattan" faction of the Family.
Dellacroce had absolute power in making and breaking the captains within this faction. In 1985, Dellacroce demoted Mike Caiazza (who was one of the three captains) because Caiazza had appointed Joe "Buddy" LaForte Jr to briefly act for him while hospitalized. Caiazza had not consulted with Dellacroce, but rather with Castellano which infuriated him.