Test conditions: 600m (2000ft) elevation, ambient around 20C. Fuel used was standard Australian Methylated Spirits (denatured alcohol) 95% ethanol content. 0.5 liters of tap water was heated from ambient (about 20C) to 95C then g/1 C/0.5l was calculated the result was then multiplied by 80 to get g/80C/0.5l, which was used in the final results. NOTE: I recorded up to a 5% difference in the amount of fuel used for some pot /stove combinations for these tests, this appears to be a normal amount of variation for stove tests.
6 pots where used in the tests, 84 mm (heiny), 106.3 mm, 123.5 mm, 137.5 mm, 157 mm, and 204 mm diameter. The stove diameter is 61 mm but being a side burner the flame projects out to have contact with the bottom of larger pots to about 75 mm to 110 mm in diameter which gives an approximate annulus area of 5000 mm^2, this flame contact area is different with smaller pots as the flame was shared by the bottom and the sides, pot/stove ratio is a difficult area to define and in the results I have used the stove diameter in the pot/stove ratio.
RESULTS
Pot size mm ,fuel used g ,pot/stove ratio ,% of fuel/ compared to 204 pot
84, 21.48, 1.38, 146%
106.3, 19.38, 1.74, 134%
123.5, 18.25, 2.02, 126%
137.5, 17.37, 2.25, 120%
157, 16.23, 2,57, 112%
204, 14.48, 3.34, 100%

Fuel used vs pot size graph

Time vs temperature rise note: larger pot size does not necessarily make for faster boiling
NOTE: these results are for this particular cat can stove (pictured below) other stoves will give different results.
CONCLUSION: There is a clear relationship between pot sizes and flame sizes and efficiency, the higher the pot flame ratio the more efficient the stove pot system will be.
Future work: I am hoping to do the same tests with a smaller side pressure stove to see if I can find a pot/stove ratio that matters and I will do some more tests with some top burner stoves.
Tony

Can can stove used in tests

Heiny pot on stove

157 mm pot on stove