When the NHL added the draft lottery into the January 1995 CBA, they managed to not figure out the rules until the May 1995 GM meetings after the regular season had already concluded.
At the same time, the Orlando Magic were the #1 seed in the NBA Eastern Conference and en route to an NBA Finals appearance. In 1993, Orlando had improbably won the draft lottery despite having the lowest odds; They'd eventually trade down and turned the pick into Penny Hardaway.
Since it looked like the Magic had a burgeoning dynasty, some NHL GMs successfully argued that the league should avoid an "Orlando" situation and placed a limit on how far a team could move up.
The lottery procedure remained unchanged through 2012. So for 17 years, Shaq/Penny had an indirect influence on the NHL Draft.