I "hot" compost. IIRC the over all mass as well as the dimensions relatively speaking play an important part. Plus IIRC the composting will occur much faster on top of ridding weed seeds etc400F will sterilize the soil killing all beneficial microbes and everything else. 160F will pasturize the soil, kill the bugs and any seeds and keep the microbes alive. This is the goal temperature in a compost pile.
Yes composting is often referred to as cooking the soil.