In addition to kind of smelling like a smoky fireplace, it's also not totally pretty inside:
That doesn't look so bad...
... but if I use the flash:
While the prettiness of a fireplace is trivial, we don't even use it so it might as well look decent. Right?
So, I got some black Rustoleum heat proof paint (resists up to 1,000F) and painted the inside. Not only should this block in a lot of the smell, but it looks a lot nicer now too: