I think that whole "Smyth getting hit in the face with a puck, getting 8 stiches and losing three teeth only to come back into the game to set up the game-winning goal" was HUGE in shifting the momentum in this series.
Sharks didn't look like the same team, maybe the home crowd kept the Oilers in it, but the Sharks just were too spent from the 3OT game and just wanted to go back home... well, back to SJ we go.