Yes, it would, and it would absorb more heat. It would then radiate that heat and the paint would reflect it.
If the glass gets dirty to the point that it is fully covered then it would have no benefit. But if it is dirty where say 20% of light is absorbed, then it the reflective layer underneath would still be hugely effective.
It was a joke - there are self cleaning glass products on the market but I don't know how well the self-cleaning properties hold up on horizontal installations - you will still get some sediment buildup. The self-cleaning coatings may also change the heat reflective properties of the installation.
If the glass gets dirty to the point that it is fully covered then it would have no benefit. But if it is dirty where say 20% of light is absorbed, then it the reflective layer underneath would still be hugely effective.