Pretty sure she was still as wounded after the baby cried as she was before. The article doesn't state it, but I think it is very safe to say that her C-Section incision was not healed by the baby crying.
The thing is, 5e already has provision for fairly rapid recovery of lost hit points - Second Wind, Hit Dice, resting/sleeping, etc. A major abdominal wound can't be healed by getting one's Second Wind, nor by resting. In fact, at mediaeval levels of technology it's barely treatable.It is only a misrepresentation if the person plays the same way you do. If the person plays differently, and treats damage as wounds (Especially in situations where the only possible explanation is a wound) it is not a misrepresentation, it is exactly what is happening in-game.
Hence it follows that, whatever hit point loss corresponds to in the fiction, it can't be the suffering of major abdominal wounds!
Are you asserting that it makes no sense that whatever can be overcome by resting, can also be overcome by trying harder once inspired? Because if that's what your asserting, then I'm curious as to your reasoning. To me, it seems consistent with my own experience plus the exaggeration that is part and parcel of heroic fantasy to think that if a night's rest will help, then so will trying harder at the urging of Gandalf or Aragorn.