I did some tests yesterday, and here are the results.
Setup:
Swedish army stainless steel mess kit was filled with 1 litre of cold water.
Both burners were filled to the max, ie filled until the meths level is approx 1 cm below the top.
Tests were done outdoors, but in a wind-free spot.
The mess kit lid was not used, so I could use a thermometer and to "torture" the burners a bit.
All kit was left until they had the same temperature as the surrounding air between tests.
Cost:
The Tatonka burner costs £10 inc simmering ring, for the army one it's tricky to say since they are rarely avaliable separately. Can be found for £1.50 now and then
. Army burner wins, since you get an complete mess kit for less than the Tatonka burner.
Looks:
No question about it the Tatonka burner wins easily. It's SHINEY!
Time until the water was burning:
Both took 15 minutes to bring the water to 100 centigrades. The Tatonka burner started "jetting" immidiately but burned with a yellow flame, and generated a lot of soot! The army burner took it's time to start jetting but burned with a non-sooting big blue flame when it finally got going. Had the tests been done with both burners already at working temp the army burner would have won easily.
Conclusion:
Hard to say really, I didn't like the soot generated from the Tatonka burner but it comes with a simmering ring. I quess you have to decide yourself what's important.