I like to think of deep litter as being a bit like a disposable diaper and serving the same purpose. It is not, in my opinion, a hot composting process. More like a cold rot. In general, the less moisture you introduce into your house the better.
We have a dirt floor and we get about 35 to 40 inches of precipitation each year, so we get more than enough moisture working up from the ground to get the rot process started. (rot I refer to starts the process of breaking down the Carbon (the C) in the litter or bedding, using the Nitrogen in the droppings, along with a bit of water and air).
But eventually over time, the diaper is going to get dirty and will need to be changed. It is then, after the clean out, when you put it all outside and get it wet that things will start to "cook".