Both schools would land in the top 5 or top 10 for many students, but not “Dream School” for nearly as many. Predictably, HYPSM make both lists, as they’re widely perceived as being a cut above. After that, the lists include more Ivies; NYU for reasons discussed above; two very strong state schools with strong national profiles and near-universal name recognition; and Notre Dame for the parents. Doesn’t really surprise me.
I also think Duke and Chicago have somewhat more limited regional appeal, Duke in the mid-Atlantic and coastal Southeast, Chicago in the Northeast and Midwest. Everyone knows about Duke basketball, but they’re more hated than loved in most parts of the country—including much of North Carolina, for that matter.