I don't think "Okay, now it's clear to me you know absolutely nothing about hockey" is necessary whether face-offs are important or not, but yes, I do think winning face-offs is a component of a good penalty kill. "Important" is relative. What a team does with the puck after winning a face-off is considerably more important. What a team does without the puck is also considerably more important.
And Hutton's inability to control rebounds is a huge issue both on and off the PK.