Not necessarily; a building satisfied by its own rooftop solar should be roughly heat neutral since that energy was already there. The problem is with the power density these buildings imply, requiring energy movement. Everyone could run Qwen 3.8 27B at home with a solar panel and it'd make no difference. Companies could run their traditional servers on-site at their offices, etc.
Not quite. If the roof were highly reflective and it's a clear sky, it would reflect sunlight (including infrared) back into space. Of course, we're talking about such minimal levels of power here compared to, say, heating a house in the winter that it's irrelevant.
It needs around 300 W to run Qwen 3.8-27b here, which is roughly eqivalent to me as a human walking around and doing basically anything other than sitting still.