What exactly is "cool red tile"? What is different in it's construction from hot red tile?
I looked at the reference and I'm not sure I understand what they are measuring. I learned many years ago that a surface can not have different abilities to absorb or emit heat. If it did it would spontaneously warm up or cool down. But I suppose it can be a matter of different rates of emission/absorption at different wavelengths. Solar is IR, visible and UV. Once warm, the heat from a surface would be IR, possibly long wave IR. So I suppose you can achieve an advantage by having a low coefficient at the shorter wavelengths and a higher coefficient at long wavelengths resulting in higher emissivity at night and a lower absorption during the day.