Other than the dad being worried about being 'drained', is it rly that much of a concern if she moves out? other than her being a 'young woman living on her own', or with a friend/roommate, unless they just think she's gonna demand rent money from them to live alone too versus a part time job while studying as well
esp since from the vibe of this manga it seems more like the mom's attached to the dad obviously as opposed to being a doting parent