For proper composting to occur, you need 2 parts of brown material (straw or wood chips) to 1 part green (chicken poop) and moisture content of approximately 50%. That is too much moisture in a coop to be healthy for the chickens. And the ratio isn't right.
Secondly, deep litter in a coop will not generate heat. This tidbit is all over the internet as an anecdote but not one of these claims can be verified. It's very simple, use a soil thermometer to measure the "heat" of the litter. A thermometer and hygrometer in the coop is a good idea. Everyone should know the coop temperature and humidity and be able to adjust airflow as necessary.
Just an opinion from a guy who has composting for years.