I leave the water in my tank, until the next trip. It is usually two weeks between camping useage. I don't like to leave the tank dry between trips. My tank drains fairly fast, so I drain, and refill with fresh, the day before leaving.
I do use city water, and have a whole house filter. I drink the water from the tank, using a filtered pitcher also.
I don't think it would matter in just a couple weeks time, if you just added fresh to the old, but I prefer to have all fresh.
Jerry