You do not get to exclude the power grid costs. That is the core of the grift. They are trying to get data centers connected to the grid as fast as possible with contracted kwh rates so everyone else on the grid would end up paying higher rates. They can contract for existing wind power at 2 cents a kwh, then other businesses and residential customers paying for the peaker plants and grid upgrades.
You don't have to build a single data center or build power plants to keep gpus at home.
The 100x multiplier is complete nonsense. There is no truth to it. They are still running power through chips on the same nm scale. It is not saving anything. A gpu in a home only needs to run when you have it do something, so its much more efficient. OpenAI doesn't even use its current data centers, that is why they have internal teams using lots of gpu resources to front run other people's accomplishments. Those gpus are otherwise sitting idle.
You cannot claim a rented llm for $200 a month is cheaper and more efficient than a $1300 gpu you buy once and use for the cost of electricity.
You leave out the cost to the consumer, the fact that the consumer still needs home internet, electricity, and a computer to use cloud AI. Your "efficient" service didn't eliminate anything and is using the same amount of power to process the same amount of bits.