A pure heat engine can also drive an air conditioner system or refrigerator. There are motor home fridges that run on propane (using the ammonia absorption/desorption cycle). So both home heating and cooling area possible.
Excellent idea! With a cheap heat source, it becomes viable to use an e-cat to thermally power an air conditioner, greatly reducing the electricity needed (just the fan part is now needed). Summer cooling is a major consumer of electricity.