Last guess I read put it around 350 barrels for a family sedan. I don't know how much of that is plastics, smelting, and other materials and how much is energy requirements though (and to be fair, I have no idea how close or not that number actually is to the true cost).
But given that it takes some amount of oil at least, doesn't that invalidate the argument against increasing efficiency? Because you could call building any sort of car, even a Model S, a loosing battle then.
Another thing to think of: if you don't have access to a wall plug, and want to provide an air conditioned environment in a vehicle, there's no alternative to oil AFAIK for anything smaller than an aircraft carrier. Diesel Generators are the only option for air conditioning on Sailing Yachts for example. Nothing else has enough energy density and you can't fit enough renewable (solar, wind, hydro) power to keep up with the amps air conditioning will pull out of it.
I know that particular example is very niche. It's just an interest of mine and I'm hopeful we'll see some sort of game changer in the next decade or two.