"It's not quite so simple as lightest stove = lightest overall weight. There are a whole lot of factors to be weighed including but not limited to, size of party, length of trip, cooking style, wind, temperature, whether or not you intend to prepare hot beverages, and cooking/heating frequency."
I think Jim has nailed it on the head, no one stove is perfect for every situation. Stove testing is my hobby and I own a lot of stoves mainly canister and alcohol and I have spent hundreds of hours running tests on these stoves trying to understand them and trying to find the best stove for my uses and they all have there good and bad points.
I personally prefer canister stoves and at the moment I mostly use two types one an Kovea 60g upright with two aluminum pots for warmer weather and an Coleman Extreme with a JetBoil GCS pot for cold weather, white gas stoves have there advantages mainly for extreme cold conditions, the coldest temps that I experience here in Australia is -20C and Xtreme can handle that temp. I mainly prefer canister stoves because of the type of bushwalking cooking I do, which usually requires simmering. I have worked out how to safely refill canisters and only take the amount of gas that I think I would need.
Alcohol stoves while they can be a very light option for shorter walks most are not capable of simmering and are not that efficient compared to canister stoves used properly, they also do no work that well in cold conditions, they can take some fuel to prime and most are difficult or impossible to recover any unused fuel.
I own a Caldera Cone for a Firelite 550 pot and while it is a very fine stove system it still does have some limitations, unable to simmer, difficult to store in pack and can be difficult to assemble. My testing shows that the cone is good in wind compared to a STD windscreen.
Tony