Unless Duke falls to an 8/9 seed and somehow the committee lets them go in our bracket there is next to 0 chance we see them until next season. Even then I would be mildly surprised if they won the 8/9 game. As a 1-3 seed there is virtually no chance they make it far enough. As a 4/5 seed maybe an outside chance assuming they end up in our bracket.
I'd give them about a 20% shot at a sweet 16 if they are not a 1 seed. Forgetting their track record recently, which suggests they will lose to a lesser team early, they are being beat by very average teams. They would have to shoot out of their minds for at least 3 games straight to start the tourney in order to realistically meet UK.
In short, I don't see the point in answering the question posed by this thread.