Although true that older men too often impregnate underage girls, it isn't necessary to evoke worst-case scenarios to advance what is otherwise a commonsense position. That is, no child should be operated on without a parent's consent - no matter what the procedure - except perhaps to save the child's life when parents are too ignorant to make a reasonable decision.
If, say, parents prefer to hop around a boiling porridge of toad eyes and coon tails instead of agreeing to a lifesaving tracheotomy, then let the courts intercede. Otherwise, let's not allow exceptions, including the occasionally intractable parent, to override reason and the best interest of children.
Even if you approve of abortion as a choice "between a woman, her doctor and insert-god-of-your-choice," few parents would make the same argument for children. And even if you believe that abortion is only another surgical procedure that removes a clump of cells, it is still a surgical procedure for which, clearly, a minor needs parental consent. Translated: love, support, forgiveness and a hug.
In the bigger picture, the proposed law is also good for families. Parental autonomy has been incrementally undermined in recent years through various well-intended government initiatives, whether through public education programs that parents don't like or "protective" services that intrude in private matters even when not warranted.
At the same time, cultural trends minimize parents, especially fathers, as ignorant rubes while elevating children as intellectually superior, and surely far cooler. Underpinning these trends is the governing assumption that parents are not competent to raise their own children.
Granted there are plenty of bad parents out there - many of them sitting in corporate board rooms and legislative bodies - but most parents have their children's best interests at heart. They also know that abortion, more than a surgical procedure, is an emotional, often life-altering process that doesn't end when you cross a state line.
Mothers and fathers may be disagreeable at times, but a pregnant girl needs her parents more than she needs a special-interest group or a politician or a lousy boyfriend - none of whom love her as much.