Industrial scale cooling is indeed not small and also not light, mostly because that’s the cheapest way to make it on the ground. If fact far to many people here obsess over the FF being able to fit in a garage or some such. Even the required shielding would preclude that. So yea the kind of heat that needs to be dissipated is significant and won’t result in a compact design. But on its own it should not be a problem.
The problem will be if all that heat is in hard to remove places. ie in the Onion for example.
Assuming it works of course.