wrong.
Have you ever had a player single handedly win you a game? When the rest of your team was playing awful, against a team who was playing well, without getting assists?
Doubt.
I've had Hazard, Rooney, Giggs, Hernandez do it for me frequently. I was 2-0 down to Arsenal after 65 minutes once, poor performance all around. Hazard runs from the middle past 3 defenders and smashes it past Akinfeev in style. He then destroys the left wing in the remaining time to set Hernandez up for two easy tap ins, and I win 3-2. Pretty much every club has "go too" men that they look for to do something special to grab something from the game. Gerrard for Liverpool. Rooney, Giggs, Nani etc. for United. Tevez for City. Drogba for Chelsea. Even lower down the league, Charlie Adam for Blackpool. Parker for West Ham.