What? This is a stocks and flows problem. If everyone filled up to the brim every time, but followed the same pattern of use otherwise, the weekly fuel consumed is exactly the same (modulo some tiny loss of efficiency due to cars being marginally heavier).
Of course a nation of half-full cars suddenly filling them to the brim demands much more fuel during the (short) period of time over which they make that transition, but that shouldn't create an expectation of drastically increased future _consumption_ of fuel.