On a bright day, the sun will heat a coop with an open side to the south faster than the airflow will dissipate the heat. Or heat the contents, maybe. I had darkish brown leaves as bedding when I measured it. That warmth doesn't last through the night, of course.
With respect that is not my experience.
It is the case that my birds will "follow the sun" when it shines in during the winter. This whether the sun falls on the bedding or on the roosts, I believe they get some warmth from the sun falling directly on their bodies but this is not enough to raise the temperature inside the coop relative to the outside. I have been inside doing cleanup/egg collection on the brightest of days and have never seen the thermometer rise.
I will qualify this by saying I am far enough north that the angle of sunshine is relatively "flat" during the winter months.
I chose to make my comment as I did not want anyone to build a Woods thinking that it will magically be warmer than some other coop style. The advantages are a guarantee of fresh air without drafts using a very simple design (ie the open front) without the need to add venting using windows or open soffits/fascia. If one uses the original Woods build techniques it can also be more economical per square foot than modern stick framing methods as there is no inner frame required. Since very few people who build a Woods choose to use the original approach this latter point is moot.