In real forging reheating the work piece multiple times is part of the process. To get this effect work pieces need to cool down faster. The reason they cool down so fast in real forging is the anvil is absorbing the heat due to it's high contact area with the workpiece and thermal conductivity from being metal. So I recommend only speeding up the cooling for work pieces on the anvil, not in inventory, ground, or cool forge.
Especially the copper anvil and copper work pieces, copper has about ten times the thermal conductivity of bronze, iron, and steel. (this also means copper should heat up faster then the other metals) It is amazing what a little bit of tin does to copper's physical properties...