So, I understood the "11 charges" as the capacity of the charger alone, before you needed to refill it from an external canister.
https://www.kickstarter.com/projects/265641170/kraftwerk-highly-innovative-portable-power-plant indicates 11 charges "per filling," so you'd have many, many charges per external canister.
According to the weight, it holds 40 grams of fluid (for the 11 charges).
Elsewhere on the page, you can get 12 external canisters (1kg of fuel). So one of the small external canisters is ~80g, or 22 charges.
And if you don't care about "renewably produced gas," you can get refills a LOT cheaper. I found a 10oz can of butane for $5 (
http://www.cubancrafters.com/butane-refill-for-lighters-ultra-5x-refined-fuel-for-gas-lighters-universal-adapters/, just the first thing I happened across) - that's 283 grams of butane, or ~80 "charges" for $5. Again, not amazing, but given that you don't have to carry solar with you and butane/propane is easily available, that's not horrible.
I entirely agree with the OP that it's nonsensical for most people in developed countries (and I have no idea why so many people want this when a $40 battery pack does the same job in 99.9% of use cases), but it is a genuinely useful device in terms of pushing mobile devices out into developing countries that may not have power. A lot of the Kickstarter stuff tends this way (the Biolite stoves are a good example), so I don't have a huge problem with it.
... that said, I looked at it for a while, did some math, and concluded that it wasn't of any value to me, so I didn't order one, for much the same reasons listed. And I play a lot of Ingress, so mobile power in desolate areas is a very useful thing to me. Just, my battery pack is a better solution, for me.