My impression is favorable.
Consider why is the rocket stove "smokeless"??
Answer: High heat. Basically once you get over 1400 F you start burning most the smoke. A good J-style rocket stove, like we talk about here quite often, ought to pretty consistently be burning in excess of 1600 F. Several hundred degrees beyond what is required to burn the smoke. And temperatures can rise in excess of 2000 F. In ideal conditions wood can burn at something close to 3400 F.
Why do rocket stoves burn so hot?
Answer: Geometry. Short feed tube, so as to keep it from behaving as a chimney. Short horizontal path for the fire to traverse the burn chamber, and enter the fire riser. The fire riser creates a very strong draft. Why? Because it is several times taller than the burn chamber, and because the design retains the heat at a high temperature.
Why use fire brick and insulate the fire brick?
Answer: Fire brick can survive the high temperatures and the rapid rise in temperature. They are insulated to keep the temperature high. Why? To keep the fire hot enough to burn the smoke and other gases.
So to answer your question, I would say these are basically following the rocket stove design. You have in this case an L-type configuration instead of a J-style, but that just describes the feed tube. The most popular design around here is the J, with the vertical feed tube. But they can be built with a horizontal feed tube, in which case the feed tube and burn chamber are all the same unit. This is kind of what is shown in the pictures. It appears the burn chamber is of a larger volume than we typically use, and adding the pot on top is clearly different, but they are using it as a stove, not a heating device.
It would get hotter in their pot if the pot were in the chimney (fire riser). But how would one do that? Those are really big pots!
Maybe you would do like the Wisner's did in the Turkey Frier Challenge, or whatever it was called. I think that thread is somewhere on here, but maybe I saw it elsewhere. Basically they wanted to find out which device would boil water faster, a turkey frier or a rocket stove. The rocket won. The build a basic rocket stove, but the fire riser was modified to accept the pot, and then a skirt was added, just a tad larger diameter than the pot, to help keep the hot air rising along the sides of the pot.
That might be a workable adaptation to the pics. But all in all, what they have built seems to be working. They are getting the heat they need, and they are burning hot enough to burn the smoke, and we might presume the other gases as well.
Sounds like a very workable solution to their problem. And it almost certainly also burns less wood. Another important consideration when you have to carry the wood to your fire!
I'd give them a thumbs up!
Is it exactly a rocket stove. I guess not. But they are using a number of the basic themes we use in a rocket stove. Primarily the horizontal feed and burn chamber, with a significantly tall chimney, which keeps a strong draft. And apparently the clay or cob they are using is sufficiently insulating to maintain high enough temperatures to burn the smoke.
A good, workable solution.