I don't think so.
From an eye-test perspective, Sharks didn't change their playstyle until the 3rd period, where they basically just focused on defense and forced the Hawks to play dump and chase. In the 2nd period the Sharks were still pressing for offense, and the Hawks were simply outplaying them, as they did for the majority of the 1st period.
What did you see with your eye-test?
As far as flawed stats, the consistent, recurring trend in the data is that score effects don't take hold when the score is close (tied or within one goal), and when they do it's usually in the 3rd period. That's what happened in this game to my eye, as the Sharks backed off and let the Hawks have the puck for most of the 3rd period, they barely attempted to cross the Hawks blue-line, but the Hawks just couldn't generate anything when they were forced to dump and chase.
Whether that's because they were tired from the back-to-back, or because of roster management issues (the 3rd and 4th got little ice time, Roszival continued to play big minutes despite handicapping his team with terrible, botched zone exits, the 2nd line as currently constructed is REALLY limited if they can't carry the puck in, etc) could be an interesting discussion.