At the same temperature, metal feels cold while wood feel warm why?

At the same temperature, metal feels cold while wood feel warm why?

Have you ever noticed these? Touch different objects at home. 

You will observe that at room temperature, some objects feel warm and some feels cold.

In Metal, there are free electrons in lattice structure which can carry kinetic energy through lattice. 

These free electrons can move through metals. So if temperature is cold, then metal also gets cold.

 But in wood, there are covalent bonds. So there are no free electrons which carry kinetic energy through it .So if temperature is cold, then wood feels warm.