Don’t believe it for a minute.
The first thing women do when with wealthy men is to have that baby.
The baby is the bank account.
Edwards is going for the sympathy vote here.
Respectfully, I think you misread the story. She didn't want an abortion, he wanted her to have an abortion. And, he went as far as having one of his flunkies try and talk her into it.
I can't imagine how he thinks that would make him look sympathetic.