Do it, Algore!
No doubt his profile has skyrocketed, but he didn't win the Academy Award. An Inconvenient Truth won for Best Documentary, and the Academy Awards webpage shows director Davis Guggenheim being nominated for and winning the award in that category. During the thank you speech, winner Guggenheim handed his Oscar to Algore to hold, creating the faux photo op seen round the world.
Interestingly, in a similar category, The Departed won Best Picture. There was no confusion that director Martin Scorsese won that Oscar, and that Leonardo DiCaprio did not.