Why is a burn with hot steam so much more dangerous than a burn with water of the same temperature?

A burn with hot steam is more dangerous than a burn with water, since when it comes into contact with the skin, water instantly cools due to a relatively low body temperature (36.6 C), and hot steam, on the contrary, when cooled, turns into a liquid state, thereby releasing even more heat, and already in the form of hot water settles on the body. It turns out that water gives off heat only when it is cooled (Q = -cmdt), while steam during the transition from one state to another, and when it is cooled (Q = -cmdt + Q = -mL).