If we didn’t win those 9 Conference Championships, the chance of winning a NC would be pretty slim. Those 9 Championship means were we good enough to contest for the NC, not winning the conference means we were not, i.e. without one, you likely don’t have the other.
I would trade 2 or 3, maybe even 4 conference tittles for NC but now way I give up all 9 for 1 NC.
I always ask my friends that question why KU does no have more titles, would rather have a team that is consistently in the top 10 and regularly wins 30 games per year, or a team that has a magical season once or twice every twenty years and it is middle of the pack the rest of time, like Arkansas, Houston, Memphis, Villanova, UNC State, Buttler? The answer is almost always that continuous success, even without a NC is better.