IMO, Georgia's biggest buff in GS was the introduction of diplomatic favor. If Hungary isn't in the game, there is nothing stopping Tamar from suzeraining literally every single city state on the map (other than people killing them, but Tamar gets protectorate wars). Tamar rolls around in diplomatic favor and she has relative ownership of the world congress (or as much as you can have with the Civ 6 WC system). The fact that Tamar has so much favor to spare means she can trade favor with the AI for gold early and easily, setting herself up for success. Since GS, Tamar is always rich.
Georgia doesn't have bonuses towards cultural victory, but they're heavily encouraged to take that route anyway. Faith tends to pair better with culture than science, and Tamar's focus on city states means she wants to be going through the cultural tree to get as many envoys as she can.
The only benefit to Tsikhe imo is, sadly, the new Military Research card that gives +2 science for renaissance walls. The Tsikhe only takes a few turns to build, and them acting as basically libraries is actually quite nice when you're mainly focusing on culture. Are the walls worth it? No, not really. But hey, they're better than they were.
Georgia is largely the same as they were before GS, but Tamar's ability to rake in favor is not to be underestimated.