Okay...I honestly don't see what the point of that is at all.
Tampa Bay - Stamkos, Hedman
Colorado - Makar, MacKinnon, Landeskog, Rantanen
St. Louis - Pietroangelo
Washington - Ovechkin, Backstrom
Pittsburgh - Malkin, Crosby, Fleury (one of the runs Staal)
Chicago - Kane, Toews
Los Angeles - Doughty (Kopitar is a weird case)
You have to go back to 2011 with the Bruins to find a team that didn't have a top 10 pick that won the Stanley Cup and that's stretching it since Bruins did have Seguin on their roster, but he wasn't an impact player. I haven't even gotten into the trades that these teams did with top 10 picks to construct their roster like Duchene and Schenn and Johnson.
Is there a chance Minnesota will win the Cup without drafting in the top 10? Yes, but most teams that eventually win have a top 5/10 prospect that they drafted on their roster.
Minnesota does have three right now on their roster; Brodin (10th), Rossi (9th) and Dumba (7th). We'll see what impact Rossi has on the roster.