You think because the woman whom gets the abortion doesn't speak its going to be a dropped thing?
Jilted lover?
Angry husband?
Religious confidant gone sour?
There are hordes of ways it can go side ways, and these varieties of laws do nothing to protect against it.
"Yeah, my 'ex' wife was carrying my kid, went to (insert abortion friendly state here), came back, is no longer pregnant."
She doesn't have to say a word. That trial could still reasonably happen.