I think you are making the wrong point, John.
Any stove use will burn fuel. We always need to transport a heating device (stove) and fuel to where we are camping. How MUCH fuel we use is dependent on how much water we need to boil. Wether for cooking, drinking coffe or tea, or, just as a heat source for bathing. The quantity of fuel will vary from person to person. There are those that don't use any stove, hence don't cary any fuel. 0oz in weight. There are others, more like me, that use the stove morning and night: breakfast (usually 2 cups of oatmeal/cocoa and two cups of coffee), supper is often a rice or pasta dish often requiring up to 15 minutes of preperation/cooking and a cup of cocoa. Some people use the stove for three meals, adding a lunch of soup and sandwitch. The usage is very difficult to compare.
The only real thing is the amount of heat a fuel produces.
Methanol/Ethanol blends are about 10500 BTU
Butane/Propane blends are about 21000 BTU
White gas (whatever blend) is about 19500 BTU
To carry it to the heater we have:
Alcohol: 1oz (soda bottle)
~4oz Cannister: ~4oz (can)
WG: 1oz (soda bottle)
The density of the liquid fuels is about .8 or so.
For a 16oz bottle of fuel(alcohol or WG,)has about 12oz of fuel in them. (16*.8=12.8, but I leave a little expansion space in them.)
For a canister, it weighs 7.62oz on my scale (varies a bit from one to another.) Three of these will make up the 12oz of fuel for comparison. (Note that one 8oz can weighs about 5.8oz empty and would make things a bit better.)
About 12oz of alcohol gives us 12*10500=126000 at about 13oz counting the bottle, or, ~9692 BTU per carried ounce (for comparison.)
For canisters we get 12*21000=252000 at about 22.9oz, or, ~11004 BTU per carried ounce (for comparison.)
For an 8oz and a 4oz we get 12*2100=252000 at about 21.4oz, or, ~11776 BTU per carried ounce (for comparison.)
For WG we get 12*19500=234000 at about 13oz counting the bottle, or, 18000 BTU per carried ounce (for comparison.)
However we use the heat, be it a caldera cone, jet-boil, HX pot on a gas stove, is totally independent of these numbers. As is the type of stove used to generate the heat.
Anyway, looking at the weight of stoves and the efficiency of transfering heat to the water often becomes the deciding factor. WG is the clear winner for fuel alone. The downside is that this involves fairly heavy stoves and/or complicated pumping mechanisms and pressure containing containers for the fuel. Alcohol is often the lightest near the end of a trip, often weighing in at 3-4oz for a complete cooking setup when all the fuel is consumed. Canisters are somewhere between these. But again, so much depends on individual usage that you really cannot say for sure.
What is the BEST stove?? Well, I wouldn't attempt to guess on that one. I have used all of them at different times. Every one has their place.