You are dead wrong.
The flames may diminish, but the heat does not just disappear with them.
The area may cool down relative to the flames...but do you really want to argue semantics over a flame at 1800o and then a drop to 1500o when the room starts baking?
Spend some time with a simple campfire and you can debunk yourself.
Go read a book or something and stop trolling.
Bingo! That is all I am arguing. Thanks for the confirmation.