I don't have any technical knowledge to contribute. I can say that my gas mileage increased 3 to 5 miles per gallon when I switched over to a self-built LiFePO4/Boost Cap rig. The capacity is quite limited. I can only start my car a few times without charging. My think the mileage increase is due to the higher operating voltage (about 14.4 volts) and fast charge time. In Short, the alternator is under much less load now that it is not continuously charging the lead acid battery up to 14.4 volts. So there is that benefit.

I do notice resting voltage of 13.1 volts is reached in a short period of time (before my 9 hour work day is over). My pack is 4SP LiFePO4 parallel to 6S3P BoostCaps (350 Farad D Cells).