Ah ... you two seem to understand where Tc comes from ... any chance you can explain it to me? ... feel free to use small words, I make no claim to expertise in this matter ...
T is the temperature of the emitting object.
Tc is the temperature of the surroundings.
In the real world, the object emits to the surroundings while the surroundings emit to the object.
Subtract to find the net power.
In SSDD world, the emitting object magically senses the temperature of the (cooler) non-emitting surroundings to dial down its emissions.