No, the regular season conference champion is what everyone acknowledges as the regular season conference champion. Which is also an irrelevant footnote not even a week later, same with the conference tournament.
Recruits acknowledge what you tell them and outside of the KU streak, most college basketball fans couldn’t tell you the regular season P6 champion from even a year ago.
Just because people don’t remember doesn’t mean it’s not what’s considered the true conference champion. And the original argument was that the conference tournament was a bigger deal than regular season titles. By your argument, nothing matters. People don’t remember who won the NCAA tournament in 2011, so even ncaa championships don’t matter.