Where ever you find yourself on the abortion debate, I would think that requiring parental notification for elective abortion should be a bipartisan stance. Opponents of the requirement often cite assaults or even murders of teen girls who confessed to their parents that they are pregnant, which is an extreme rarity.
Is there any reason a parent shouldn’t know if their teenage daughter is sexually active (which is many times illegal at such an age requiring consent). Perhaps she is helping to cover up a (statutory) rape for fear of retribution from her attacker. Or maybe she is in a consensual sexual relationship with an inappropriately older man.
Good rule of thumb: If you’re OK with requiring a parent’s consent for any other medical procedure or administration of medication, it should be required for ending the life of their grandchild.