If you went for function over tradition, you'd invite the top 64 teams into the tournament. But they don't. Conference tournaments would be meaningless, but they're tradition. To advance the best team you'd make it a series, but they don't.
Sure, you can make some changes, but there's a balance between inclusivity (of #15/16 seeds), tradition (conference champions automatically qualify), etc. If they're not willing to budge on some of those things, you'll never have the perfect tournament that truly invites the best teams and sets up a brackets where the best teams likely advance.