I prefer alcohol over esbit, admittedly...
If I were going to use esbit, I'd use a gram cracker; it's absurdly light. That said, just how much are you watching literally every gram in your pack? I ask because in Lynn's example (not picking on you, Lynn!) if you boiled 2 cups twice a day, you'd save 3.2 grams of fuel per day with the wings... and add 1 min. 35 sec. to each boil. Even if you were going on a 10 day trip, you'd save all of 32 grams, or 1.1 ounces. Personally, not sure that one ounce would be worth the extended boil time. YMMV.
I'm guessing that you'd carry the esbit in something, maybe a zippered baggie... that would add another 1/3 oz, maybe?
I regularly boil a pint/2 cups on 15ml of fuel in my caldera, but assume cold water and 20ml. 20ml is about .68 fluid ounces. IIRC, alcohol is about .8 of water by weight, so 0.8 x 0.68 = 0.54 (mass) oz of alcohol per boil. That .54 oz converts to 15.3 grams. Direct comparison of alcohol to esbit, then, given info above, seems to be that esbit is a few grams lighter. If you were to assume a 4 gram difference per boil (11g esbit vs 15g alcohol -edit, had wrong units), two boils per day, then a four-day trip would yield a 32 gram/1.1 ounce weight advantage. A 12-day trip, of course, would net a roughly 3.3 oz advantage to esbit. Are grams the only important consideration in your cooking system, though?