Doesn't it seem reasonable that distilled water's lack of electrolytes can be balanced quite easily from other sources? (a quick google search seems to indicate 'yes')
Scientific questions:
1. How much electrolytes are there in a single bite of any particular food, compared to a gallon of water? (anyone have a real number?)
2. How long do electrolytes stay in the body (being usable) after being ingested?
3. How much water will a certain amount use after being ingested. (ie, the difference in electrolytes in distilled vs other sources. Do they even get "used up"?)
4. What is the effects of low electrolytes? (is it pain, body deterioration, something we can feel and detect?)
I am sure I could google this, but I suspect the answers are really hard to find with any true accuracy because they would vary greatly by diet, body size, composition, health, age and many other factors. And I'd argue that it's possible we can tell our electrolyte levels by how we feel? (this seems reasonable)
Edit: Did some research on distilled water, in a previous comment, some interesting finds. https://news.ycombinator.com/item?id=16432024#16449986