It seemed like a good way to really try to understand where someone's comprehension broke down. It felt like it added some legitimacy to the students who got the answer wrong, if others could look at it and go "oh, I see why you thought that!" instead of just "wow try to get it right next time". I believe it's part of what good teachers (not limited to school educators, mind you) are doing all the time: looking for the student's gaps and trying to correct those, instead of just repeating the lesson that has already failed to stick.
I guess this just makes me think of that teacher, trying to work out what her pupils were misunderstanding, by looking at their answers.