Yes, but it seems like benefit of monitoring compost closely - beyond just looking at it and turning it occasionally - seems like it would be low?
Like: is the compost steaming, then it's probably hot and wet enough. Has it been X days since it was turned, better turn it. My naive intuition is that adding value to the compost is quite hard if you're looking at things like aerating a few days earlier, damping a little more, or whatever.
Like I said, I'm ignorant of the details, which often makes for a good learning experience!