You're also making comparisons based on current technology when you want to discredit something 1,300 years in the future AND in a universe where Frontier has specifically stated that they violate uniform physical law in the name of design concpets and "balance".
It's the nature of the game. We don't have tractor beams, either, as nice as they would be. Because "realism."
Who knows, maybe the heat sink is a superduper thermoelectric element after all. The heat has to GO somewhere, it doesn't just disappear, and you can only radiate just so much as infrared.