Elijah Z, I just weighed my prototype 'ul cookset on a shoestring' setup, which I've been dabbling with for a while, and comes in at 7oz. That's with a cup/cup cozy, penny stove, alcohol fuel bottle, pot stand, solid flashing wind screen (which is a critical part of any alcohol setup that is efficient), and the other stuff you listed.
this is not a flimsy cookset, it's all solid, stainless steel pot, with lid, flashing wind/heat screen, steel pot stand. This set is actually slightly lighter than my ti pot/pot stand setup, and just a touch less efficient.
I have not figured out how to make tea and cook at the same time without a cup, but the cup does not need to be very big, or heavy, my cup/cozy weighs a bit over 1/2 oz, I'll also post the exact weights.
I'm in the middle of a huge work job right now or I would have already created the how to on my website, but if I have time I'll try to whip it up this weekend.
Your pot/cozy/heatshield are fine.
My goal for the main cookset was under $10 total (including of course the stove/pot stand etc), and I got it down to $6.50 or so due to a fortunate find in chinatown where I live of an ultralight pot.
I'll put up a link when I get the pages done.
Alcohol stoves are where you will save the biggest chunk of weight, by far.
I'd be careful of a 0.1 oz spoon, while if you have a knife you can whittle yourself one if the one you brought breaks, that takes a while and doesn't work quite as nicely, though I've done it, I'd go for an REI lexan spoon, they are the cheapest ones they carry, and are very strong. Not as strong, sad to say, as they used to be, but good enough. For my shoestring cookset I used a spoon I found that came from a yoghurt place.
With practice, and if you boil slightly under 2 cups water per meal, and cook two meals a day, you can make 2oz of fuel last for 2 days, ie, 1oz per day, but it's better to have a bit extra just in case. Penny stoves also simmer incredibly well, so for about 1 oz per meal you can actually cook your meal, real food that is.
Where did you get a 0.1 oz cutting board, that sounds nice? I used to carry those to cut up food but stopped, now I precut everything but I kind of miss having that option, cutting on logs always seems to get dirt in the stuff I'm cutting.