Giving your plants "room temperature" water is more friendly than either colder or warmer water, straight out of the tap. I personally do it religiously (let the water sit for 24 hours minimum) when germinating seeds. Allowing the water to sit will allow most of the chlorine gas evaporate out of the water. Whether this is beneficial or not, I know I prefer not to drink chlorinated water and rain water, which the plants have evolved with for Millenia, certainly doesn't contain chlorine.
One study does not prove much, and the study didn't say if the soil microbes recovered to their pre treatment levels or if their levels decreased due to the lack of chlorine. Granted, there are a lot of products designed to hook growers into buying stuff they don't actually need or has no scientific value (such as molasses), but if letting tap water stand for some time and "acclimatize", and if it is doing no actual harm, then why not let it stand. Even if the outcome is largely psychological, does it really matter, as long as we growers think we are doing everything we can to pamper our plants, I can see no drawbacks in getting rid of a little excess chlorine for our babies' benefit. At least they will appreciate room temperature water, at the very least.
Hope this helps,.... Organoman.