it is my understanding that chicken poop is about 85% water. So there is going to be some amount of moisture with both methods, I would think.
Think of the litter as a diaper. It's job is to absorb moisture and keep things dry until it gets soaked. A good litter will absorb the moisture in the poop and keep things dry fast enough that microbes cannot grow or you keep them under control. The poop contains moisture and if the poop builds up too thick it will stay moist. If it is mixed in enough dry litter it will not cause a problem.
Microbes need a certain moisture level to grow. If it is too dry they cannot live and reproduce so the litter doesn't really compost. If it is too wet the the microbes that live and reproduce are the anaerobic type. The anaerobic microbes are the ones that cause it to stink and become slimy. Too much moisture can also promote diseases. Too much water keeps oxygen away.
The aerobic microbes need oxygen. These are the ones that do a good job turning litter into compost. They don't stink, you get a nice earthy smell. The compost stays friable, not slimy. It is good stuff. The ideal moisture level is where you take a sponge, soak it, then squeeze it as dry as you can.
To me some people get hung up on labels and technical definitions. In real life, things are not always that clear cut. If the litter is dry enough it is not going to stink or be a problem. Whether it is the dry method or the deep litter method doesn't affect the "not stink" issue. The amount of moisture only controls whether it composts in place. Sometimes the moisture is more in between the two methods, you get some compost action but maybe not a lot.
Some people worry about the right mix of greens (nitrogen) and browns (carbon). Bedding is browns, poop is greens. If you get the perfect combination and the moisture is right it can compost really fast. Mixing it helps too. If you get more browns than optimal, it still breaks down as long as the moisture is right, but it is slower. If you get too many greens it tends to hold moisture and go anaerobic. This is where you can run into problems.
@ThisoldNHhen You can do both. Whether it is the dry method or true composting deep litter or somewhere in between will depend on moisture content. Using a droppings board to keep things cleaner makes sense to me. Hopefully you have a compost pile to use that stuff in.
I use the dry method and droppings boards. My compost pile does well with that pure poop added to it. I add wood shavings as required but I can go thee or four years between shoveling the coop out. I could go longer but I put that stuff on my garden in the fall to get ready for spring planting. I should do it more often for the benefit of my garden but I can be lazy when I don't have to do hard work.