The Dowling stoves look like the crude stuff that was welded up in North America in the late 60s and early 70s when the wood stove "movement" was just getting going. Fit to stick in a shed or basement corner I suppose, but in a living space? No thanks.
The ultimate in fuel-consumed to heat-felt is the Russian or Scandinavian "Masonry heater" which extract most of the heat from the flue gasses- where the most heat is lost - before venting outside. As I expect we all know, such heaters were built into the houses, often in the centre of the building and even included sleeping platforms in previous generations.
I had a look at Dowling's videos: nothing of substance I can see, just superficial amusements. If one face of the "pyramid" lifts up to load the stove, a very high draft will be needed to keep smoke from billowing out into the room as there is no space to contain it with the typical "diving bell effect".
There is a trade-off between the speed heat is transmitted to the surrounding room and the need to maintain high combustion temperatures for both maximum heat output and completeness of combustion. Firebrick contains heat and it could be said reflects it back into the combustion space.
The same principle is visible in an open campfire: if your fire is loose and open with spaces between the logs that are too large, the heat at the core of the fire escapes too easily and combustion is slow and heat output is poor. Conversely a well built fire maintains a high core temperature because the heat is not allowed to escape too quickly or too easily.
Firebrick and a suitable fuel load for the size of the combustion space does the same. You can build and maintain an efficient small fire in a large firebox, but it needs frequent attention to maintain. A fire of the same size in a suitably smaller firebox will have it's core temperature maintained by the closer heat containment of the firebrick and burn hotter with less attention and adjustment.
Yes, firebrick takes time to heat up and transmit heat through to the steel or iron body of a stove, but it also holds and continues to transmit heat after the fire goes down, as with the typical masonry heater. Most steel bodied, brick lined stoves have direct exposure of the upper walls, or at least the tops to the flames and that is where most of the heat transfer to the room occurs and where air is typically blown over or past the heated steel.
The Dowling has not even the pretense of secondary combustion, so it will be both less efficient and more polluting than a stove that does. In fact a simple old rectangular cast iron two-hob "garbage burner", preferably with a water jacket would be much more useful and convenient.