Actually you can look at it another way: talent matters immensely. A school's location to talent also matters immensely. Florida is within arms reach of some of the nation's best talent. As an extension of that truism, Florida, as a general rule, fields some of the most talented teams in the country.
Going in to almost every game of the last 20 years, you would be hard pressed to find a Florida team that didn't out-recruit almost every opponent, even Tennessee. The more talented team wins about 70% of the games played against lessor talented teams. If over the past 20 years the UT v. UF record is 16-4, and UF has the most talented team in every match-up (both assertions I would generally agree with) that is about as close to the average performance as one could define (Florida has won 80% of those games).
Beyond that, people don't understand randomness. Even if the outcome was definable as 50/50 (say that both teams had the same talent and the game was played at a neutral location), it is unlikely that the results would actually be 50/50. That is randomness. Flip a coin 100 times, and there is something like a 30% chance that you would get a run of heads or tails that is 10 or more in a row. That doesn't mean that heads is more likely than tails, it is always 50/50, it just means that randomness has an impact. Contrary to popular myth, there is no curse or mental block, only the reality that the more talented team wins 70% of the games played.
Bottom line UT has been less talented than Florida (generally) over the past 20 years and almost exclusively over the past ten. The on the field results are almost perfectly in line with the 70/30 distribution of wins and losses that can be ascribed to talent, and any minor deviation from that rule can be defined by randomness.
Appreciate the reasoned, statistical rationale you provide to explain the incredibly lopsided results from the series these last 20 years. I've nearly gone bloody mad expecting each year to be the year that the horror ends, only to see the streak extended again and again and again .......