Setting an NHL record for fewest shots on goal in a Game 7 will not, in all likelihood, be tops on a given team's "Keys to Victory" graphic that sports broadcasts are so fond of using to distill the myriad complexities of a postseason hockey game.
Shots are important. Shot attempts are important. I mean, just getting the puck to the net in one form or another is the fundamental concept of hockey as a sport, just so long as you don't distinctly kick it in once you get it there.