That is incorrect. Being downwind simply aids and enhances their ability. When conditions become unpredictable (high winds that keep scent away, make noise and cause things to move) they find a place where they can keep watch and bed-down.
That said, regarding hearing; Deer have excellent hearing and their ears pivot, rotate and angle to be able to not only focus on a sound, yet determine exact range and direction (same way our eyes work for depth perception)... However, I have routinely stalked up to within bow range of deer (60') so how are those ears now?
K2