That, and by the fact that in a lot of the very rural areas, drunk driving has a rather low fatality rate, given that there are no other cars on the road and no obstacles to crash into. If you run off the road, you just drive into some corn or wheat or alfalfa, or at worst hit somebody's cows. (These are the same places you'll see people e.g. allowing their young children to drive trucks or motorcycles—even by themselves, at night. There's just nothing much that can go wrong.)
(I think this is all also true of rural Russia, which is a large part of where the American stereotype of Russians as constantly drinking comes from.)