To take the girl's money, kill her baby, and return her to an abusive home hardly seems to be the action of caring individuals. Even with parental involvement, abortions will continue to kill teenagers. Erna Fisher's mother was holding her hand when she choked to death on her own vomit on the abortion table. So clearly, involving teenager's parents isn't a panacea. But when teens know that their parents will have to be involved in their abortion decisions, fewer of them risk pregnancy to begin with.
Fewer teens risking pregnancy means fewer teens risking abortion.
Parental involvement means that those teens that do resort to abortion will have no need to fear reporting complications to their parents. Fewer teens at risk, and a lower risk for those teens who do gamble their lives on the abortion table, will mean fewer Ruth Ravenells choking back silent screams at their daughters' deathbeds. How anybody could oppose this is anybody's guess. Maybe it's the politics. Maybe it's a combination of the three.