Hardware cloth will keep out rodents, provide some security, and will diffuse the light cooling it off. It also helps break the wind.
It distorts the image a tiny bit and is easier to deal with and looks nicer than chain link.
It will help protect from hail.
Window screen over the hardware cloth will cool it off a little bit more, and hide a little more, while still allowing in light.
Not as drastic as sun screen.
On the hottest days, spray it with water. Cool things down even more.
“I'm in a constant process of thinking about things. ”
― Richard Brautigan