There’s a wood stove item that sort of works like you describe, it needs more work still, but it’s the same general idea.
I’m trying to come up with a way to handle houses as distinct entities like this, so a working furnace would “heat this house”, or perhaps just “heat this room”, noing terribly productive at the moment, but still working on it. For the time being it just checks for “heat sources” like fire or a stove that are in range and uses that to adjust body temperature as opposed to it heating the room.
There could certainly be a variety of heating methods, here in Wisconsin is still relatively common to have a fuel-oil boiler, which boils water and circulates the steam through radiators in each room of the house. It’s not at all common to have a stove like you’re describing, though they’re in the cabins in the woods I think. There are also natural gas boilers, central boilers etc, as well as the more modern duct-based forced-air systems. Probably the most interesting part of the varieties would be all the parts you could harvest from them to build things :3
Maybe I should add a recipe to turn an oven into a wood stove…