True, but the distinction is irrelevant in this case.
> Recent experimental advances in near-field radiation have shown that heat-transfer rates on the nanoscale can exceed the blackbody limit by several orders of magnitude14–17, owing to contributions from evanescent and surface modes18,19. As a result, energy conversion rates can be greatly enhanced on this scale20.
So this whole system relies on not being a black body on several levels.
Same issue as with anti-Stokes scattering that was once held promise of "self-cooling LEDs" or using gas dynamic lasers for spaceship cooling.
There is no trick against thermodynamics after all.