When I divide annual tonnes/annual barrels I get numbers in a range from 0.04928 to 0.04802, not the figures you have. But I see the same weird downward trend. I'm using the 2009 Stat Review. The notion of lighter hydrocarbons sneaking into volumetric measurements makes sense to me, good catch. But this is affecting only one side of the equation...how does that work? Presumably the equations themselves haven't changed over time. Apply a linear trend over the data I get a .96 correlation.
You might want to play with numbers from the EIA's
International database. These only go back to 1980 but you can select C+C, NGLs, or "Other Liquids," as well as Total oil supply. They also have Heat Content data for oil from various nations, but these are almost wholly unchanging, except in the early 80s for a few nations like Indonesia, Australia, and Thailand, near as I can tell by skimming over the list.
Stat Review also has Oil Consumption figures in both metrics, there might be something of interest there as well.