That appears to be their observation of the two schools they had direct experience with. What else are you asking they provide here in terms of analysis? Maybe average student test scores? Likely available as it appears they are talking about public schools here. If the new school has significantly better scores would that satisfy your analysis requirement? If the test scores within their household subsequently follow this trend would that be sufficient analysis? In general active/concerned parents are going to try to get their kids the best education available right?
Also can you elaborate on where you got the "unfairly placed" part? All that was actually said was they moved from one school district to another. People buy homes for school districts all the time...there's a section dedicated to school rankings on Zillow for a reason.