It's important to note that the word "district" isn't in any of the names of the districts. The "Commercial hub" houses economic buildings, the "campus" houses your educational institutions.
Most of the time the naming conventions make sense. I for one think "Theater Square" should be changed. Interestingly enough, I think the new name should actually have "district" in the title because "Cultural Districts" are actually a thing that exist; which happen to contain the 3 types of buildings we've seen placed in the "Theater Square" so far.
As for the Aqueduct, if the Aqueduct is a building in addition to being the name of the district that'd be very redundant. At least the theater square has an amphitheatre. An alternative would be "Waterworks" or "Utilities".