Well there are rocket stoves and there are ROCKET stoves!
That one is not insulated, not designed to run for several hours every day and is pretty small … so yes the stainless
should last quite well.
However, stainless will deteriorate, the process is known as intergranular corrosion, this corrosion results from heating stainless between 550C and 850C.
This causes chromium to precipitate from the stainless steel and reduces the ability for the passivation layer to regenerate. (I dont really know what that means but that is what is says on Google)
Also stainless is very prone to expand and contract when heated and cooled and that is one of the main reasons it is not used very often for stoves.
I have tried using it for pizza
oven doors but it warps really badly.