Just fix the weighting even more, and every position is determined via the lottery.
30: 12%
29: 12%
28: 12%
27: 12%
26: 8%
25: 8%
24: 6%
23: 6%
22: 6%
21: 4%
20: 4%
19: 4%
18: 2%
17: 2%
Bottom 4 is the worst team in each division, then the rest is by points. You still get the best chance if you suck but it is minimal, and you could still end up picking out of the top 5 since you are not guaranteed to only fall one spot.
No team is going to really tank for only a 12% chance of the best player.
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