It doesn't matter if you're drinking the "optimal" amount of minerals, distilled water has none so it leeches those minerals out of your body as you drink it. Drinking distilled water leaves you with less calcium and iron and etc than you had before you drank it.
So, you think I should be drinking water pumped out of the ground in Silicon Valley? First of all, the amount of naturally occurring mercury is very high. (The Almaden Quicksilver mine was the largest cinnabar strike west of the Mississippi, if not largest in North America.) Then there is 50 years of semiconductor fabrication. I'll take my chances with distilled, thanks.
... do you know what distilled water is? It's very different from filtered or reverse osmosis water. You can get filtered water in a water bottle that's not distilled water. Dasani, Fiji, Aquafina, Smart, etc... that's filtered water. Distilled water is really really bad to drink. It's acidic, has zero minerals, and has no electrolytes so it will not hydrate you.
Got a source for "really bad"? Because that would conflict with the above link. I stand by my comment above: distilled water, passed through a carbon-filter post-distilation, seems like a better bet than drinking water the city pumps out of the ground in Sili Valley.
>distilled water seems like a better bet than drinking ground water
Those are not the only two options. There is a third option that exists, it's called purified water and it leaves the important minerals and salts in the water. Water can be purified without being distilled, and even your own source says distilled water will leach chemicals from the plastic container into the water. Distilled water is what you put into a car's radiator or a home humidifier, not into your body.