I have two Trangia fuel bottles, a 1l and a 500ml. The valves on them look identical to the unaided eye but I got a surprise when I tried them in a (genuine, aluminium) Sigg bottle just now. They are definitely different. The one from the 1l bottle more or less fits in the Sigg bottle but the Trangia thread seems to be a little bit too big. It's a tight fit and it would undoubtedly be damaged by repeatedly inserting it into the Sigg bottle. The valve from the 500ml Trangia was so tight after half a turn that I abandoned the experiment. In case you're wondering, the 500ml bottle has had alcohol in it all its life, and the 1l bottle has had my Coleman Fuel lookalike (a mixture of brake cleaner and dodecane). I have known petrol to cause plastic stoppers to swell, but not these fuels.
The shapes of the sealing rings, and of the mating surfaces on the Trangia and the Sigg are different. The Trangia uses an O ring, the Sigg uses a flat washer.
My two cents: don't do it unless you can live with the potential consequences.