It will not. Wind chill is a perceived air temperature, not a physical quantity. An object will lose heat in calm conditions, but wind will remove it more quickly.

How does temperature affect snow?

Snow depth and temperature

The snow surface temperature is controlled by the air temperature above. The colder the air above, the colder the snow layers near the surface will be, especially within the top 30 to 45 centimeters (12 to 18 inches).

How does wind chill affect temperature?

Wind chill is based on the rate of heat loss from exposed skin caused by wind and cold. As the wind increases, it draws heat from the body, driving down skin temperature and eventually the internal body temperature. Therefore, the wind makes it FEEL much colder.