I use a bushcooker also a double wall woodburner. If I had to start from scratch again I would again go for a double wall burner but a titanium one. A Bushcooker Lt. The smallest weighs a mere 2.4 oz and is good for boiling water for 1 person.
The tactics with woodburning:
Always make sure you have enough dry wood for 2-3 days and of course enough kindle to light the fire. A dry stash of bark from birch is perfect. If weather is perfect you could carry less.
Each day make new wood to replace what you have burned. Doesn't matter if the outside is wet. Just cut it to pieces and split it and put it in a 'wet' bag. It has 2-3 days to dry. When reasonably dry transfer to the dry bag. I carried in total a medium plastic shopping bag with dry and wet wood, knife, saw and kindle. That was enough volume to cook water each day for a family of 4.
cook water in batches of max. 500ml. More takes to long and isn't efficient.
Make wood with a knife with the batonning technique. Split the wood.
Use dry food that only needs to rehydrate,. Boil water, at to dried food, perhaps try to bring it again to boil and then just stash it away for 10-15 minutes in a cosy or whatever where the pot keeps warm and hot.
Almost any spirit cup fits in a bushbuddy/cokker style burner. A windshield is paramount!
Soot is something you have to live with, use a pot that you don't mind it gets sooted.