Actually I'll bet it isn't much cooler. To get rid of the heat from the sunlight, you've got to send that sunlight back outside with a reflector. The pseudo stained glass will absorb the light and turn it into heat with perfect 100% efficiency, right there at the inside surface of the door glass, and you'll get just as much heating as you would if it flowed on in and turned to heat on the floor, on furniture, or on citizens.
It will be a bit darker though. As I understand it, that was your primary aim anyhow.
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-- Carl
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