Similar system seems to work in greenhouses:
https://permies.com/t/171410/ground-RMH-greenhouse I mean floor doesn’t have to be hot, not freezing would be nice

Our bunker is well insulated, google ”turf houses”, +1 meter of snow.
The thing that made us interested about this topic, ”rocket floor heating”, is that it saves space. All you can see is the barrel and fire hole. In a small bunker that is highly welcome.
Perhaps the biggest concern for us is this flexible pipe. As you mentioned, the biggest disadvantage is cleaning. After manifold and T-junction, it is just the pipe.. Let us say we have 4 meters horizontal and 4 meters vertical, all together 8 meters. That is not easy to clean although not impossible either with right tools, but perhaps it is necessarily to take it out every now and then if the J isn’t well designed and doesn’t burn everything.
When it comes to the pros, flexible pipe is flexible, one can make ”S” curves etc. with it to the floor or create shapes/corners that would otherwise be difficult. I’m not aware of anyone who would have used this sort of pipe in
RMH so maybe we got to be the first ones to try
