Solar roof coverings- passive heat?

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SternWake: "A black surface will absorb more heat in sunlight, and also radiate more heat at night due to higher emmissivity of dark colors. For a black covering to effectively transmit more heat in wintertme to interior, it would have to be in direct contact with the roof, heating that, and then at night one would remove the black covering to minimize heat loss."

I've been thinking about this a bit. But I'm curious... does that 'Rule of Black' apply when the black is sitting on the metal (either the metal roof is painted black, or the separate black surface is lying directly on the metal surface), AND when there is something of a dead air space between a black tarp and the metal surface, AND when there is enclosed insulation and a bit of a dead air space below the black? Does it apply NO MATTER WHAT other conditions are present? This rule of physics is new to me, and I would like to understand it.
 
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