Niko,
great question. I had access to several gill-type shields and several aspirated ones.
I measured several days worth of data and the metone, to which I linked before, was the "coldest" all day, so I assumed it was closest to air temperature... The humidity was low, no irrigation, and always above dew points so there was no evaporative cooling effects. To that I compared everything. Other shield types were always higher than this reference with the gill-types (even self-aspirated) being the worst. By "gill-type" I mean shields that allow wind to blow through them, having slats, louvers or stacked "upside-down pie tins".
Heavy material is bad, it absorbs a little heat all day and then gives that off at night.
Another issue is heat loss at night to clear skies.... being colder than air temperature