FWIW, I'm in a rural area in El Salvador and my water supply isn't municipal but from a water co-op, so, for soaping I collect rainwater, purify it with bleach and let it sit, covered, for at least 5 days. At least during the rainy season. During the dry, I take a gallon or so of water from the house, and let it sit, also covered, for a week or so, to let the little bit of chlorine in it to break down. So far, so good. I can't get into town often, and I don't feel ruthless enough to ask my caretaker to haul a gallon of distilled water on a bus.
My water is clear, doesn't smell like anything, and leaves a tiny amount of white deposit in a pot if I boil it. My soaps bubble and lather great, don't irritate my sensitive skin, and a half brother and his wife took it to Canada (Saskatchewan) and they love them.
I figure it's a wash-off product so it's not going to transfer whatever is in the water to my body, any more than what the atmosphere anywhere does already.