Yes, in fact the number of "back-alley" procedures will rise enormously if such a cruel and ridiculous law were to be introduced. I can well remember in my country prior to the 1970's the frequent horrific tales of unfortunate women faced with no other alternative than to risk their life and health over an abortion performed by a rank amateur. These fools would see us return to those times, presumably.
Moreover, where do they see the plight of the unlucky woman who suffers a miscarriage unfolding? Would she have to suffer doubly by facing the ignominy of a police investigation, to ensure that she hadn't 'murdered' her foetus?
You will note, of course, that there is a disproportionate number of men urging such a change.