Let's compare the numbers for Kansas State and Iowa.
NCAA Tournaments: 31-26, K-State leads
Sweet 16's: 17-8, K-State leads
Elite 8's: 13-4, K-State leads
Final 4's: 4-3, K-State leads
Title Games: 1-1, Tie
Conference Titles: 12-6, K-State leads
The numbers are not very close. No objective person would say that Iowa has accomplished more than Kansas State. So, either you're being obtuse, or you're just wildly lazy with how you examine actual data.
Kansas State's program is far superior