Yes, winning in round one can get you rolling with positive momentum. Assuming they beat Ottawa, they have no reason not to win round one in less than 7 games. You would like to get through round one and not have to play a long grueling series given how physically taxing it is to win the SC, the toughest trophy to win in sports.
In the NHL playoffs any team can win, most sports cannot say that, but if you can get an easier matchup on paper, you really would like to take advantage of that, that is why getting the top seed in the East meant something to me, especially with a series against the physical Canes looming in round two. But no doubt once you get going, the NHL playoffs will be wide open as usual.