According to EIA data, national, annual electricity transmission and distribution losses average about 7% of the electricity that is transmitted in the United States.
I would think the US Energy Information Administration knows what they are talking about.
"distribution" doesn't start at the plant and end at the wheels.
That's actually exactly where the electricity is generated and where it is consumed. There is no electricity before that, and none after that. If that does not include the whole of the "distribution", then I don't know what does.
You argue that from the plant to the middle of the road 35% of the energy is lost. But the above source says that the transmission and distribution losses in the grid are 7%. Even if you include additional transformers (which have efficiencies of upwards of 98%) for getting the electricity into the road, you are still far, far away from losses of 35%.
So please, where from exactly do you get these 35% losses?