As stated the earlier, GT and UGA don't do much for economic impact (hotels, restaurants, rental cars, etc). The city's contribution to the stadium comes from the
hotel/motel tax, so it makes sense for all parties involved to find teams with fans who will come for 2-3 days.
There's not a lot of incentive for them to schedule GT and UGA, but they do it anyway from time to time. If you look at 2020 when UGA plays, they added a third game. Of the three games, there are 4 schools that would require an overnight stay (UNC, WV, UVA). Then you have FSU and Auburn, which are within reasonable driving distance and also have a sizable fan base in metro ATL.
I think it was reported a while back (or maybe on Stansbury podcast) that they had tried to schedule a one-off UGA-GT game that would not take a home game away from either school. GT was open to discussing it, UGA said no. Point being is that the organizers have tried to include GT-UGA against what might be in their own best interests beyond just selling out the stadium.
I don't follow recruiting very closely, but I assume the "advantage" is that you're telling a metro kid that you'll play a single game out of 48-50 near where they live? Seems like most of these schools that have played in the game (except Boise State) get signees out of Georgia anyway. Not sure that this would be a huge tipping point.