I don't know, I don't completely understand the logistics of it, but it certainly does seem like you are buying energy by volume. It also seems as if you would be buying more of it in winter and less in summer.
You expend more energy in winter to go the same distance as in summer time - our FE charts prove that over and over again. If something contracts as it gets colder then there is more mass per volume so that would seem to say that there is more potential energy in a winter tank, but it is completely nullified by the mass of cold air swallowed by your engine - more energy needed to create propulsion and heat when the weather is cold.
But if the pump is volume corrected way above the actual outdoor temperature then the reading it is giving is higher than what you actually put in your tank...maybe. Perhaps the energy/volume equals out in the end.
I'm too tired to think about it at the moment...