What about the same system but inverting the odds and evening out the probability. So that the best non-playoff team has the highest chance of winning the lottery but you have a much more gradual increase in the probability of winning the top pick, say a 3 percentage chance for the worst record and a 10 chance for the best non-playoff team (the math works). It would encourage teams to win but the incentive to lose would be mitaged by the allure of the playoffs and the knowledge that your odds of winning the top pick were only marginally better than getting the last pick of the lottery.
NFL has parity because the regular season is 16 games and the playoffs are one-and-done. If you could extend the season to 82 games and the playoffs to 7 game series without killing the players, it would be Patriots vs 49ers/Seahawks every year.
