Since you've doubled down, as opposed to just conceding a mistake, which is very common on message boards, I'll list P5 schools at programs which have had recent coaching changes, since the beginning of the 2021 season, and thus in the portal/NIL era, and which have qualified for a bowl since the transition.
Virginia Tech, Duke, Louisville, Georgia Tech, Texas Tech, TCU, Northwestern, Wisconsin, Washington, Oregon, South Carolina, Illinois, Auburn, Florida, Oklahoma, Miami, Texas, Kansas, USC, LSU and Tennessee. Leaving out teams with first year coaches, the only P5 teams, with a new coach, that have NOT managed to make a bowl are Vanderbilt and Virginia, both of which were massive rebuilds before the new coach ever got there.
So, why couldn't UK do it if Northwestern managed it? Or Duke? Or Kansas? No, 5 years wasn't a reasonable number, at all. I'm glad we kept Stoops. Had we not, assuming a competent replacement, a very realistic possibility for the next year we make a bowl would've been 2024.