I would say winning a conference tournament is a confounded variable. I rather be seeded 1-3 than win my conference championshipCorrelation does not equal causation.
I’m not saying winning the conference tournament increases your chances. The data shows that the conference winners perform better in the tournament. I think it’s likely because those teams are better and playing better and thus winning games - but that isn’t what’s being said here.
Remember Syracuse won the Big East in 2006 and got bounce first round because winning your conference tournament means nothing for the actual tournament