Both panels will have the same reflectivity/absorption properties. Therefore the one being used will have a slightly lower temperature than the one not being used, because some of its input energy is converted into electricity.
The one not being used will reach an equilibrium at a slightly hotter temperature. As solar panels don't generate much energy per unit area, the difference will be quite small.
IMO.
But does not the movement of electrons produce heat?

It could be 50/50 its one of them things that hurts the noggin.
