Close… As heat transfer is near and dear to my heart I’ll pick a couple nits.
Black clothing doesn’t “make them sweat”. If the clothing is working correctly it transfers less heat to the body, so the wearer will actually need to sweat less, though it might feel like you’re sweating more.
White clothing reflecting heat back towards the body is also a misconception, for two reasons: First, if it’s hot out and the clothing is at skin temp (~93F), the two surfaces are in radiative balance so radiative heat transfer to the clothing stops. Above that heat transfer reverses, so “black” would hurt not help. However in reality it’s a non-issue, as most clothing that look “black” in visible wavelengths (380-750 nm) is in fact quite “white” in the IR wavelengths human skin emits at (~9500 nm). So I’d drop the part about white reflecting heat back to the body.
The chimney effect is the really important part. The black clothing does get hotter in the sun. In the process it causes the air close to it inside the garment to heat and rise. That pulls more fresh, dry, air through the garment. That in turn makes evaporative cooling more effective. Evaporative cooling is 80% or more of total skin cooling in dessert conditions, so making that more effective is the key to staying cool. It wouldn’t work where it’s humid and evaporative cooling breaks down, but for the desert it’s effective. Of course there’s an argument that properly designed white could do as well or better (loose fitting white is also used), but there’s no argument that it looks cool…
