Not crapping on Kansas or Self, but. Only 1 team, other than Kansas, has won a national title, Baylor. As good as B12 is, it has not translated to titles (3 total), in the time of comparison.
Other than UConn's 4 national titles, Louisville (2, 1-vacated), Syracuse (if you count 2003), Villanova(2) have won titles. Four teams with 9 or 8 titles.
You can make the case, UConn's lack of conference success could be because they seem to have played against tougher conference opponents. As evidenced by the national titles.
But again, Kansas and Self's success is nothing to scoff at.