"I just did a rapid calculation. If you count a very lightweight alcohol stove as weighing zero, the less efficient fuel pretty much means at least four ounces per day if you do a hot beverage and hot cereal for breakfast and a one-pot meal with beverage for dinner. That means 28 oz. a week unless you want to do less cooking." greenmountainguy
As an alcohol stove user I find your estimate of 4 fluid oz. of fuel alcohol per day, to support personal cooking style, very credible.
I use a very primitive alcohol stove set up, just an empty cat food can with no wick, no punched holes, and no other enhancements, a wire pot support, and a light windscreen. I prepare two hot beverages and one hot meal (typically Knorrs/formerly Liptons) per day. I use slightly less than 3 fluid ounces of alcohol to accomplish that each day. If I additionally cooked a breakfast of old fashioned (not instant) oatmeal per day, as you greenmountainguy apparently do, that would probably raise my daily fuel usage to about 4 fluid ounces.
But, you may be overstating the alcohol weight needed for your seven days and nights of back country cooking. Don't confuse alcohol's volume (fluid ounces) with its weight. One fluid ounce of water conveniently also weighs one ounce. But, fuel alcohol is 20% lighter than water. So, each fluid ounce of alcohol only weighs .8 ounce. Instead of needing to carry 28 ounces of fuel (by weight) for your hypothetical 7 breakfasts and 7 dinners, you would actually only be hauling 22 1/2 ounces.
Also, I limit my trips to no more than 6 nights/7 hiking days between resupplies. Some other posters may act similarly. Canister stoves are neat toys and convenient to use--I've owned three of them. But, I suspect that many three season hikers (unless perhaps also cooking for a partner or group), could save weight by switching from butane to alcohol.