Coming into uchi is actually the "flip side" of being wrapped. The family expects Janine to help them wrap others (including the otoosan's guests and Nobu, in his exam preparations). Li Ming's family wants her to spend time with them, and accept the responsibilities that coming further into uchi entails. For them easing up on her curfew was closely tied to her accepting her responsibilities to uchi. Ironically, coming into uchi is what ultimately allows her to go out with her friends.