It's fictional technology, we can say about it whatever we want. I have a hard time believing that Federation ships are so energy inefficient that they're spilling heat out of every pannel. Don't you think it would be better insulated than that?
You're getting it completely backwards. In a spaceship, you don't
want to keep the heat in. The problem is that it's hard to get rid of it. Contrary to popular belief, it's hard to lose heat in space, because vacuum is a superb insulator. (Ever used a thermos bottle?) In atmosphere or in the ocean, when your vehicle's engine and the bodies of its occupants generate waste heat, that heat is carried away through the surrounding medium by conduction and convection. That keeps your vehicle from overheating, and if the heat loss is too great, you may need to insulate against it. But in a spaceship surrounded by vacuum, there's no conduction or convection -- only radiation, the least efficient method of heat transfer. Just by being in space, you're ideally insulated -- too much so, in fact. Your engine and your computer and your crew's bodies are still producing just as much heat -- and an engine as powerful as a starship's is going to produce far more waste heat than the engine of an aircraft or seagoing vessel. And if you can't get rid of that heat, if you can't radiate it into space, then your crew will be cooked to death.
This is why real astronauts' spacesuits are designed with
cooling systems, not heating systems. This is why the Space Shuttle always orbits with its cargo doors open -- because the inner surfaces of the doors are heat radiators. If it orbited with the doors closed, the crew would be cooked to death within days.
If you've played the computer game
Mass Effect, it makes good use of this idea. It's something that comes up often in hard SF involving spaceship combat. Ships need large radiator surfaces to maintain a safe internal temperature, especially if they're engaged in combat and using powerful weapons that would inevitably produce huge amounts of waste heat. But those radiators are vulnerable, while conversely armor would make it harder to lose heat. So ships in combat have to strike a balance between the protection of armor and the danger of overheating, and that limits the duration of a space battle. It's a major part of how combat works in the
Mass Effect game, and it's impressive to see that they put so much care into the science of it, especially given that most mass-media SF totally ignores the heat-radiation issue.