One more thing as relates to deep litter vs. compost. While they may be synergistic in some situations, that may not always be the case. In general, the purpose of the litter first and foremost is to deal with and absorb the manure, which has both a heavy nitrogen component, but also contains the moisture content that is generally associated with urine. With chickens, it all comes out together. But in a tight. closed up house in winter with a high density bird population, that can contribute to the moisture levels to the extent it contributes to frostbite in very cold weather. Deep litter helps absorb that moisture from the manure, along with the other solids in the manure.
I think the diaper analogy holds true.......purpose of litter is like that of a disposable diaper and serves the same purpose.
This is a pretty good explanation of the composting process and what it takes to get a hot composting process going:
https://deepgreenpermaculture.com/diy-instructions/hot-compost-composting-in-18-days/
When you start out with high carbon litter, such as leaves, wood chips, hay, straw, etc, and not much in the way of greens, or the Nitrogen component, the Nitrogen needed to feed the bugs that get the composting process going comes from the manure or droppings. So when you start out with fresh deep litter, you will be sorely lacking Nitrogen and moisture. Essentially, you are buying an extended wearing time for the diaper. Overnight Huggies. The deeper it gets, the more time you get. As ground moisture is added, as moisture from the manure gets added, as moisture is absorbed from condensation, etc, it all starts to come alive and will heat up, but in general, purpose of the litter is not to get a hot composting process going. Yes, it would generate some heat.......perhaps a lot of heat.......if that is your goal. But in general, I would submit that generating a lot of heat should not be your goal, as in addition to the heat, it will be giving off CO2 gas, which the birds also do......CO2 is toxic to them and must be vented, but to get a hot compost going also requires moisture be added....and that will also be added to the air......again, the same moisture we are trying to void.
The good news is that in the end of the cycle, when your deep litter is fully saturated and you are ready for a diaper change, the stuff you take out is almost like like a ready made compost firecracker ready to go off.......add some moisture, pile it deep and stand back.