I would say it started when Donovan came to Gainesville, especially when they beat UK in 1998 in Rupp with White Chocolate, Stolt, Weeks, etc. I know White Chocolate got suspended and it derailed Florida's season, but then, they beat UK again in 1999 (in Gainesville) and they made the Sweet Sixteen. Norm Sloan had some success at times, and Lon Kruger laid the foundation, and Donovan just took off. Florida has been the class of the SEC in the last 20 years, even though, I think the H2H slightly favors Kentucky (or it's even, but Kentucky just won 9 out of 10 coming into the 2023-24 season, so who knows).
It was Arkansas in the early to late 90's, but it's been Florida ever since. Tennessee has played pretty even with Kentucky too in the last ten years, but Florida has won titles, and Tennessee has not been to a FF.