Distilled water leeches minerals from the system. If you are doing a short cleanse of 10 days or less, it won't matter too much. Longer and it's best to stick to spring water.
I live in Hawaii and have used reclamated rain water(distilled by nature) for my homes and always have trouble w/metal pipes. The reason, rain/distilled water is void of any minerals and by nature , in the pipes of the home and the pipes of your body, pulls minerals out. That's why distilled water in a plastic container always smells like plastic.