In cool weather, metal feels colder to the touch than wood. Is the metal temperature really lower?

In the place where the palm touches the cold material, a redistribution of thermal energy occurs. By touching the material, we release heat energy, heating the material.

It is known that the thermal conductivity of wood is much lower than the thermal conductivity of metal, so you can quickly reach a comfortable temperature at the point where the palm touches the tree, in contrast to the place where the palm touches the metal. When we touch wood, we do not lose much heat and we get the feeling that wood is warmer than metal. Therefore, houses are built from wood.