nhllotterysimulator.com allows you to simulate the draft lottery outcome as many times as you would like. Took a little time and simulated it 100 times. As of right now, the Sabres would have the 4th highest lottery odds behind the Avalanche, Coyotes and the Jets. Out of 100 simulations, the Sabres won the 1st pick 14 times (2nd to Avalanche's 26 times). They won the 2nd pick 8 times (tied for 5th most with the Islanders). And they won the 3rd pick 9 times (tied with the Stars, Red Wings and Coyotes for 4th most). Overall, it played out like the odds would suggest. The Sabres won a top 3 pick the 4th most of any team with 31/100. It'll be interesting to see how the rest of the season plays out and if we get some lottery luck when/if that time comes.
Unfortunately, that is inaccurate, isn't it? Because I believe that Vegas gets the third lottery slot. Right now Arizona and Colorado are tank-Sabres level bad, and will not be caught. With Vegas in that third spot, the Sabres' only chance at a high lottery position is being 4th-worst. Which is not ideal for someone hoping for a top 3 pick.
Maybe the luck finally does swing our way this time, though. It would be fitting, in a draft that is dwarfed by the ones that surround it.