Something that doesn't get talked about enough and may just be coincidental is that every time there is NHL participation in the Olympics, the Stanley Cup playoffs end up going really screwy with all the big teams getting upset early.
1998: Penguins, Flyers, Devils, and Avs all went down in the first round, Capitals make it out of the East when everyone else loses
2002: Bruins, Flyers, Devils all lose in the first round, Red Wings were really close to losing in the first round until Cloutier let in that Lidstrom shot from center ice
2006: All 4 high seeds in the west lose in round 1, Edmonton goes to the finals
2010: Montreal goes through Washington and Pittsburgh, Bruins and Flyers knock off higher seeds, Bruins blow 3-0 lead, 7 vs 8 in the ECF
2014: none of the division champs got to the conference finals (3 #3 seeds and a #2 seed). Colorado lost to a wild card Minnesota, Sharks blow a 3-0 lead
I don't know if it's caused by the 2-3 week break messing up the momentum of high seeded teams, or the combination of the physical efforts and adrenaline spent in February from star players in the Olympics causing them to come out in April/May with a low tank, or maybe it's just pure coincidence (2019 had similar rates of first round upsets and such without any Olympics that year). But it seems to happen every single time.