You're correct, but also incorrect. Ain't no parent buying a 1.5-2.0 million dollar home in Heathwood, King's Grant, or around Lake Katherine. Those are considered, "Downtown" neighborhoods. Not the crappy college kid homes all around campus in the true downtown area.
Folks from up North or any liberal state out West are coming in and slapping down cash on the barrel for asking price or above. Full blown bidding wars in some instances, in which some of my friends have been a part of. There are some bare dirt lots in these neighborhoods that are 1/4 to 1/2 acre going for $750k
I'm from Columbus, GA originally, so Columbia is basically the same, just a bit bigger. Not so bad and it's growing, hence the home market.