Coming from a conservative family, I don't think her parent's rule is insane in any way, especially if there morals dont include premarital sex. I would never even dare ask my parents to go stay with a boy at any age. As someone mentioned earlier, even if I'm out of the house and 30 years old, I still wouldnt tell them. It's just respect.
As for abby's advice, I don't know. There are oother options that don't include giving in to your parents standards. She must be an old fashioned lady.