There's a big advantage to being number 3 versus number 2. Number 3 you are scheduled to play 2 of the big 3 (whoever is seeded 1 and 2) in some order.Right, but this is all random, right? If Nadal was #2, he could have ended up with the same draw?
If you are seeded 2 (or 1) there is a 50% chance the 3 seed is in the other half and you'd therefore only have to play 1 of the big 3 to win the title. Djokovic is in that position this year.