Regular tap water is hypotonic, and I suspect that distilled water is only very slightly more so. To make it isotonic, you have to add considerable concentrations of ions.
There's a thing that occasionally happens to marathon runners and ecstasy users called "water intoxication." I think that's what it's called. It means that they've drunk way too much regular water and it's displaced too many ions in their blood.
Anyway, the point is that the problem you describe of drinking too much distilled water would be a problem if you drank too much regular water as well.
Just adding a bit of feedback. I enjoyed the post!
I heard of water intoxication. It's a vicious circle! The more they sweat the more they want to drink. Thanks for the feedback. I appreciate :)