> reduce energy requirement by 10-50 times

This is only relevant to the compute productivity (how much useful work it can produce), but it's irrelevant to the heat dissipation problem. The energy income is fundamentally limited by the solar facing area (x 1361 W/m^2). So the energy output cannot exceed it, regardless useful signals or just waste heat. Even if we just put a stone there, the equilibrium temperature wouldn't be any better or worse.