My deep litter doesn't hot compost, mine is a slow cold compost that breaks down and the bugs and worms underneath tend to it. It doesn't smell and I don't remove any poop. Occasionally I remove some of the compost for the garden.
After a season or two your run will be a hard packed, sometimes smelly run. I do deep litter in my bantam run. I put grass clippings, fall leaves, garden produce, weeds, dirt and all, any sod I dig up, hay, spent mulch. I pile it in, the chickens mix it digging for scratch, poop disappears, the...