Hi Cristobal;
Masonry heaters were developed long ago in Europe and Asia.
With the design of serpentine channels through a large masonry mass, it was possible to more efficiently heat homes through brutal northern winters.
The high heat at the firebox causes expansion in the firebricks that create the heat channels, with a measurable movement.
A second skin as well as being more mass does not heat
enough to have measurable movement, plus trapping any harmful gasses and directing them away from the living area.
In the US, insurance companies adopted the building rules of European Masonry Stoves, including the double skin requirement.
You can buy insurance on a home with a Masonry heater, buying fire insurance by calling your stove a
Rocket Mass Heater is almost impossible.
A
Rocket Mass Heater truly is a variation of a European Masonry heater.
The major difference is the use of a stratification chamber.
By following the regulations on building a Masonry heater, including a double skin it is possible to fit within the description and successfully acquire home fire insurance.
Nothing wrong with using metal as a bell and surrounding it with masonry or lining the inside with mass to hold the heat.
Everything is wrong about insulating between the metal and brick, you want the brick to absorb and radiate that heat not protect it from the heat.
Above the riser and the top of the bell need to be constructed with firebricks due to the internal temps.
Some insulate the roof of their bell when it is too close to the ceiling.
Attempting to double-skin just a portion is not realistically even possible, how would the second skin be supported?
A bell can be any material that can contain gasses, the mass is holding and slowly releasing heat.
If you want insurance, following the regulations, including a proper double skin, is a requirement.
If insurance is not an issue, then experiment away and see what works best in your situation.