Meet the Ondol, a traditional Korean system for heating one's house
By placing the fire and chimney on opposite sides of the house and constructing a tunnel between them, heat is pulled through the tunnel, heating the floors and helping distribute heat more evenly.
No, a rocket stove is a heating chamber with insulation around it to direct the heat to the top and heat up a pot or something similar. This is a heating system for a house.
The pot in this system is the butu-mak. While there might not be an internal chimney like a rocket stove, this kinda looks like a rocketless rocket mass heater.