I know of no actual rescue that would refuse a home based on that criteria - and honestly if they did, it's probably not a rescue I'd want to adopt from anyway. Meanwhile the goblins are sleeping in their fleece and on their fleece in the one sunbeam escaping into their room at present. They could move. I have moved them. They keep moving right back, who am I to argue?
Any bedding we use isn't just there to pick up poop and urine, it's used because it's a very good insulator too. And insulating works both ways - both to keep warm things warm and to keep cool things cool.