Yes, both the sun and moon are producing radiation within the spectrum of visible light. The radiation from the sun is warm so you escape to the shade for relief from the heat.... While the radiation from the moon is cold so you escape to the shade for relief from the cold. Obviously the moon produces it's own form of light radiation than the sun, which cools the air rather than heats the air. The moon is not a rock just as the sun is not a rock. If the moonlight you observe were indeed reflected radiation from the sun as your rulers would like you to believe, then you would feel and measure warmth from the sun reflected off the moon at night, not cold. In fact, air heated by the sun during the day would remain heated during the night if not for the opposing radiation energy from the moon cooling that air. Energy is required to increase temperature and energy is required to decrease temperature.... lacking an energy force, nothing changes.