Nah mate. The transformer is usually used as an inductor for the switch mode conversion.
It looks like you have it right though. The big brown cap should be rated for 250v + and will be on the mains AC side.
The DC side will have lower voltage rated smoothing caps.
Post the link to the device or better photos and I'll have a closer look for you.
Trangia don't have the heat capture rings but it looks like you can mod Optimus burners to work in their aluminium wind shield kits. Got a lightweight aluminium set to give it a go.
Thanks for the tip.