Hello; This is not the case in my area. I checked with the water company to be sure. They only use chlorine here. I store water for about a week and do not have to use aeriation. I use foam plugs in the openings of the containers that allow free movement of air but keep mosquitoes from laying eggs in them. (Some say four days is enough time for water to be safe to use) I keep the water in the house and after a few days it will be at room temp, so the difference in temp is usually not much. Been doing it this way for a few decades without the need for any chemical treatment at all. Be sure to check with the water company about what they add to the water. They should have a water quality report that you can get for the asking. Some publish it in a local paper or mail one to customers each year.
I like the idea of the foam plugs in the openings for keeping mosquito larvea out, what about adding a power head to the container just to keep moving water will that also help with the mosquito larvea