I would think the water would be the same as people that have their water hauled in and put in a cistern tank. Most people don't drink cistern water but take showers and wash clothes in it. They buy water bottles or have the cooler water system that has a water company deliver the water. There are a lot of country areas that don't have running city water available and this is how they live everyday if there isn't well water available on their land.
Some dishwashers have a high temp water option. Ours heats the water to 140 degrees on that option so I feel that dishes get sterilized and cleaner than I could hand wash them.
If the water is a funky color especially a rust color then wouldn't wash clothes in it but if it is clear but just a drinking hazard then you shouldn't have anything to worry about. Can't be any worse then washing them from a creek like our grandmothers did before washers came along.