Hmm, thanks for those links. I always thought that drinking (lots of) destilled water would more or less instantly kill you. That's what I learnt in chemistry.
Obviously you shouldn't trust your teachers too much.
I thought that the destilled water would destroy the cells because of the effect leeching minerals from them. Or whatever.
But I do remember somebody asked if it would be OK, to eat salt lots of minerals to stop the effect after drinking destilled water, and our teacher answered it would possibly be better to go to the hospital.
Obviously Galadriel is the living proof that our teacher was not quite correct on that instance. But still drinking it doesn't seem that good an idea, as Shantara's article points out.