When does "history" begin? After San Francisco's run? Cincinnati's? But too long ago before Gonzaga's?
There are dozens of ways to skin a cat.
During the big bang I believe.
No one in their right mind is going to put more significance in titles in the 1940s over everything else. They count but titles alone and old ones at that do not overtake all other factors like winning %, Championship game appearances, Final Fours, Elite 8s, Sweet 16s, Tourney appearances, Top 25 finishes, conference regular or tournament titles, and heck even old school NITs.
Teams that have multiple titles that I hadn't mentioned before:
Cincy- 1959-63 they had an amazing run, including back to back champs. But have one Final Four since then and only one Sweet 16 since 2001. Having a 2nd title back in 1962 doesn't overtake everything else.
NC State- one Final Four since 1983, and only four total. No other Elite 8s since 1986 besides the Final Four run.
Okie State- another back to back champ like Cincy. They haven't made the Sweet 16 since 2005 and the Final Four since 2004. Only two since 1951. Overall win % well under .600 and haven't won anything within conference since 2005.
San Fran- back to back champs, have been to the NCAAT twice since 1982. 1979 was their last Sweet 16 and their three Final Fours were 1955-57.
Schools with more or equal amount of Final Fours as SU:
Ohio State- I suppose one could put them ahead of SU. They have 11 Final Fours. But only 3 since 1968. The last time they made it to the Sweet 16 was 2013. Their win % is quite a bit lower too. I think it is fair to have them ahead.
Houston- they have 7 Final Fours but no titles. They did not even make the Sweet 16 between 1984 and 2019.
Illinois- they have 6 Final Fours but no titles.
Arkansas- they have the same amount of titles and Final Fours as SU, but nothing since 1995.
Edit
I forgot the Helms helps SU too. It shouldn't count for much but if you need a tie breaker, it is there.
