Less worried about heat and flames... mostly thinking about smoke. In the off chance there was an explosion from the stove it could drop the hallway floor that is its roof or weaken the floor to the point that people moving around trying to figure out what happened could cause a collapse under their feet. And I'd hope that the vent hood is easy to keep clean over the stove.

I mean, I'd imagine that smarter people than me would have already engineered and/or overbuilt those areas with those points in mind though.