This is just wrong, except if you live in some theory reality. It's like saying if a car can go a hundred miles in a hundred years it'll get there.
There's a reason why people don't build small dinky toys like this and efficiency is why, anong other things like that pesky "cost".

The cost of that thingy outweights the benefits. It misses out economy of scale that you get in big plants. Even with "free" electricity, It's probably making both more expensive gas and is worse for the climate when you throw it away after it breaks down for the twelfth time in a year and you wonder why it cost so much initially.
But you think it's kind of neat I guess.