Winning will not change the fact that the state of GA produces about 3X the talent TN does... FL roughly 5-7 times... Ark about equal with less people... LA double... MS almost double... AL about double... again according to Rivals star ratings over the past 5 years.
The biggest reason it is harder to recruit to UT and many commits are later is they MUST recruit nationally. They don't have 25 4-5* recruits per year like GA... As we see, a certain % of those will commit early.
Richt acknowledged not long ago that he really doesn't have to recruit that hard any more. There are plenty of great HS players from GA that want to play for UGA from birth. As long as they play pretty decent and are competing for the championship... home state kids will come their way.