Hawks will have odds, but likely still not very good one was. Last place team has an 80% chance of not drafting 1st overall, and unless they finish bottom three those odds drop drastically. I know what you're saying, just dont get your hope's up is all.
Go play the NHL draft lotto simulator and see just how hard it is to grab a top pick. Besides, that, the Hawks winning would be horrible for the league. There are so many teams that could use a top 3 pick, you still have your last 1st overall pick on the team and producing after winning cups.
Vancouver and Detroit in my opinion deserve it more than any. Other factors should help determine lotto odds. Obviously standings should be priority, but there should be some number combinations held back and given to teams who have went the longest without a top pick. Like say 15% of the numbers should be divided up among the non playoff teams according to how long it's been since getting a top 3 player. So a team like Vancouver who never picked first overall could get a 5% boost even if the finish 10th.