Sure. Nobody would ever falsely claim rape if they had to buy a $6000 rape kit (price set to reflect the gravity of the situation) to prove it, cash up front. No refunds for negative results.
I’ve described the following scenario a few times, but pro-lifers never comment on it despite my invitation: a woman says the following: “About two months ago, I forget the exact date, I went to a party. Maybe somebody slipped me a roofie, or maybe I just had too much to drink. I woke up the next day with no memory of what happened. When I missed my period three weeks later, I waited a few extra days to be sure and then took a home pregnancy test. I spent a few extra weeks thinking about it, trying to remember what happened. I think I was raped, but I can’t be sure.”
So, assuming a rape exception, can she get an abortion or not? I’d hate to think some actual roofie-victims were being forced to bear their rapist’s child simply because they can’t remember the details (which is exactly the point of using rohypnol in the first place). Is it possible to test for rohypnol exposure two months after the fact? If twenty women make the same statement, how can you tell which (if any) are lying?
This ban would do something quite insidious - forcing honest people to become liars, and good liars at that, because the bad liars (as well as those who are telling the truth, but unconvincingly) are the only ones punished. I picture a woman who tells a lie smoothly getting her abortion, while a real victim who seems overly nervous and hesitant (as anyone might be) is turned away, and it’ll all rely on the opinion of some law-enforcement officer or bureaucrat to make the call. Heck, maybe one bureaucrat lets a woman through (because she sounds convincing) while another who hears the same basic story rejects it (because she sounds too convincing, almost rehearsed). Word will get around about which bureaucrats will rubber-stamp the rape-exception application without asking questions (were I ever in such a position, I would feel morally compelled to do so), and which to avoid because (rightly or wrongly) they reject as many applications as they can.
How this represents an improvement escapes me.