The girl had a doctor’s note too, but then some people know everything better then a doctor would, or so they think
Our son just takes his pump off and puts it through the carry-on scanner. We haven’t had any problems.
From watching the video at the site it looks like the girl had a letter from the pump manufacturer saying the pump should not go through the body-scanner. By all means, don’t listen to the manufacturer, the TSA agent knows better.
They are so worried about the pump but I don’t hear any mention of the syringes and opened vial of liquid that is likely stuffed in her carry-on. TSA is too stupid to realize a possible weapon when they see it.