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To clarify, when steam comes into contact with a cool surface such as your skin, it will undergo a phase change from vapor to liquid. As the steam is changing from gas to liquid, it will release all the heat absorbed that caused the phase change in the first place. If you look at the image above, the horizontal line labeled boiling is all the heat absorbed to change water from liquid to gas. If a gas returned back to the liquid state, it has to release all that heat, thus transferring more energy to your skin resulting in greater damage.
Steam, despite being at the same temperature as water, has more energy because during a phase change, a substance can absorb energy without increasing in temperature. This excess energy is transferred to your skin and causes burns
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