Mom decided child was better, called doc, said all better.
Later that evening, doc called mother to check on child. Mom did not answer phone.
What could possibly go wrong ......
There is no mention in the article that the doctor thought the baby might have meningitis nor were symptoms consistent with that possibility mentioned. So I have to ask, where you are pulling your information from?
There is also the consideration that bringing an infant/toddler to the ER can expose them to lots and lots of nasty germs increasing their risk of contacting a serious illness.
And the child was better.