"Distillation removes all minerals from water. This results in demineralised water, which has not been proven to be healthier than drinking water. The World Health Organization investigated the health effects of demineralised water in 1982, and its experiments in humans found that demineralised water increased diuresis and the elimination of electrolytes, with decreased serum potassium concentration.[citation needed] Magnesium, calcium, and other nutrients in water can help to protect against nutritional deficiency. Recommendations for magnesium have been put at a minimum of 10 mg/L with 20–30 mg/L optimum; for calcium a 20 mg/L minimum and a 40–80 mg/L optimum, and a total water hardness (adding magnesium and calcium) of 2–4 mmol/L. At water hardness above 5 mmol/L, higher incidence of gallstones, kidney stones, urinary stones, arthrosis, and arthropathies have been observed.[citation needed] For fluoride the concentration recommended for dental health is 0.5–1.0 mg/L, with a maximum guideline value of 1.5 mg/L to avoid dental fluorosis.[17]"
I have gotten used to the taste of my Zerowater filter and so I got worried when I saw your comment. Maybe its better to drink the clean water and supplement with electrolytes and vitamins/minerals. That way you control all the parameters vs leaving it up to chance.