What I think would be fun is if they switched to a zero sum DKP system. Each team is given the same number of points for the first draft. Instead of having a lottery for pick position, you have a lottery for player position, and the draft order is a secret, so teams would have no idea when Fultz would be available to pick. So instead of having a #1 pick, #2 pick, etc, it's possible that Fultz could go up 10th... or 15th. When Fultz is announced, teams do a silent auction style bid and the team that bids the most points gets to draft him. There would be a minimum bid for a player, and obviously a maximum bid based on available points. This would make things interesting in a number of ways. Some teams might try to sit on their points for a chance at Fultz, while other teams might try to get talent for the minimum bid early on. So a smart team could potentially get a number of talented players in a draft for a low price. If two or three teams bid the same amount for a player, then the team with the worse record would win the bid. Now here is where the zero sum would come into play: whatever points are spent would be redistributed among the other teams, so teams that spent very few points would have more to use in the next draft, while teams that used all their points would have very few to use in the next draft. This would open up the possibility for some teams to be smart and spend very little to acquire good talent, while others might blow their entire load on one player and not have anything for the next draft.
I like having a points system with the ten with the most points getting the best chance. Something like 2 points for every loss before the all-star break, except for against teams within 5 games of you, where you get 1 point for winning those games. After the all-star break, you'd get 1 point for every win. At the end, subtract the finishing position (1-14). Then, make the lottery odds more even and draw for the top 10 teams, not top 3.
It would be so much fun to see some teams blow their load for a shitty player and then not have any points the following draft.