Just Imagine →
Imagine standing in front of a stove with two pots before you. The pot on the left contains liquid that has been boiling for about five hours. The pot on the right also contains liquid but the burner was never on, and as such, is room temperature. Six minutes ago, the fire was turned off on the boiling pot. When this happened the liquid started to cool, however, it continued to visibly be boiling for another four minutes. So currently, neither pot has a fire under it and the pot on the left hasn’t been visibly boiling for two minutes.
Imagine placing your right hand in the pot on the right and your left hand in the pot on the left. Do you expect to feel a difference?