I remember there's been some discussions on drafting and all the picks traded and how has that impacted things and all that (mostly Fletcher related discussions), and there was an interesting post over on the Canucks side about that:
We've fallen and we can't get up. 18/19 MGMT thread VI.
It's Canucks specific but useful read if you're interested about how the draft works. The takeaway regarding Minnesota is that from 2014 to 2018, the Wild had the third lowest expected value in the league from drafting, only ahead of Pittsburgh and Washington. It's because of a combination of having good teams and making the playoffs every season (lower picks) and trades (not having as many picks).
You probably guessed this, but the interesting part is what exactly this means. It means the Wild are expected to get 5.82 successful picks from those 5 drafts. The "success" here is someone who plays 250+ games in NHL. Arizona had the highest expected value from these years; they were expected to get 10.25 successful picks. The closest competition for Minnesota is Washington (5.45) and Nashville (6.33).
Looking at those drafts, it seems that Tuch, JEE and Greenway are pretty much locks to get 250 games. So they need 3 more to hit the baseline average result. That would happen with Kaprizov, Kunin and Kahkonen, but of course these players are far from certain to get there.