Yeah. This can vary a lot from person to person.
Mostly I use a small, 1/2oz stove and foil wind screen. For a cone to be effective it would need really high efficiency...about 1oz combo weight is correct.
For alky, I use a lighter water bottle, this weighs 1/2oz.
I use about 1.5fluid oz per day at about a .8 density. For 3 nights this is ~5oz. Accounting for the .8 density, it actually weighs 4oz. (from http://www.simetric.co.uk/si_liquids.htm, note that in calculating density against a standard, water, you can pull a proportion and simply ignore the units. Methyl Alcohol is listed as 786.51g/l water is 1000g/l. The units "cancel" for 78.651%...rounding gives 80% or .8. Ethyl alcohol falls in the same range.)
This is 2 cups of coffee in the morning, cold lunch, 2 cups of cocoa and cooked supper at night (spanish rice, Alfredo Noodles, macarroni, etc.)
This is 5.5oz total for three days. With a grease pot and foil lid(2.75oz), total cooking setup is about 8.25oz. This beats yor butane figures AND includes a cook pot.
Anyway, the point is that we can go on all day with people stating lower and lower weights. It is really unimportant to the issue: "Fastest alcohol boil with a mug type pot"
The same set up takes a while to burn and doesn't matter to this point.
I tried several types of alcohol burners, the best was 3'42" for 8oz in an aluminum mug starting at 40F. Faster means too much heat lost and low efficiency. Slower means higher efficiency, but slower boiling times. Around .3 fl oz of alcohol used in a small white box burner Wrapped in aluminum foil, 'cept for air vents.