@evildictaitor: insulation from convection is an entirely different phenomenon that we are discussing here. Not to mention that a body produces it's own heat, unlike the surface which is heated by the sun.
We are debating thermal radiation,. In where an system open to space is thermally affected by the atmosphere that surrounds it. My take is no, and no bottle experiment or naked amazon tossed into the cold has convinced me that you can warm a body by reflecting it's own energy without external work.
They thought this external work took place in a hotspot in the atmosphere, but when they looked, it wasn't there.