It probably means nothing. However, it will be interesting to see if there is any correlation between a team's record over the last portion of the season versus how they do in the playoffs. Theoretically the last portion of a season is a better indicator of how a team is doing immediately before the playoffs than their entire regular-season record is. Conversely, the last few games may be less indicative of a team's ability if a team is already safely seeded in the playoffs.
I do not believe there will be a 100 percent correlation between how hot a team is and how they do in the playoffs. I will take a look after the end of the first round just to see if the correlation is stronger than for teams' playoff success with their regular-season record.
Now, if how well teams have done since the Olympics was a perfect predictor of first-round playoff success, I would expect Boston to clobber the relatively cold Detroit Red Wings. The Montreal Canadiens should be able to eke out a victory over the Tampa Bay Lightning. The New York Rangers should, likewise, edge out the Philadelphia Flyers. The Columbus Blue Jackets should handle the Pittsburgh Penguins.
The Western Conference would see the Los Angeles Kings beat the San Jose Sharks. The Anaheim Ducks would annihilate the Dallas Stars. The Colorado Avalanche would beat Minnesota. The St. Louis Blues would manage a first-round victory over the Chicago Blackhawks.
Taken to the logical, if slightly absurd, conclusion that Columbus beats the rangers, Boston finishes Montreal, Los Angeles takes out Anaheim and Colorado does in St. Louis. That leaves you with LA and Boston in the final, and Boston wins the cup.
I am going to check after the first round to see if the correlations exist.