No, UF has won 4 NC since in 33 years. That is about half the rate the original poster suggests, but really is was 4 NC between 1984 and 2008 when Fooley got full control to hire coaches the coached like he wanted, foolishly so make that 4 out of 23.
I know that in the 25 years from 1984 through 2008, UF won the SEC title 11 times or 44% of the time. I know in the 26 years from 1992 when the SEC went to a championship game through 2017 UF won the East (really won it and went to the championship game) 12 times or about 46% of the time.
These are the modern standards of UF. What happened in single platoon football when SEC teams played random schedules going decades without facing each other and Florida had 3 electoral votes is irrelevant to the expectations today of the flagship public university in the 3rd largest state in the country. UF along with aTm have best situation in the SEC and should have the highest expectations.