"You would think that it would be easy to avoid running into a mountain."
From what I've heard and read, downdrafts can be serious hazards for pilots. When caught in one, it can be like a giant hand on top of the plane shoving it downward, even thought the pilot has decent altitude and is maintaining the normal speed he uses to stay straight and level.
Some people have said that downdrafts don't go right down to the ground, but I am thinking there may be (at least) two exceptions:
One is when the downdraft shoves a plane so close to the ground that the pilot is left with no room to maneuver, and/or there are other weather conditions interferring with the situation.
The second could be if you're going over a mountain ridge and get hit by the downdraft; the vertical-downward air movement may go right down one side of the mountain, taking the plane with it. Even if the downdraft doesn't go right down to the relative flatland, what happens if there's a canyon that parallels the ridge?
IIRC, there was an airliner crash somewhere in the midwest (I think) fifteen or so years ago that was blamed on a severe, localized downdraft, and I believe it was near an airport, as the plane was landing. No mountains around.
Bad luck and bad weather happen. Sometimes you just can't get out of the way fast enough.
OTOH, updrafts are a glider pilot's dream. Ever seen one catch an updraft and go shooting up almost vertically?
Sue