World GDP was half then what it is now. That's a LOT!. We were drowning in supply. Both WTI and Brent were in super contango. You can google that. But super contango is where the cost of storage basically goes parabolic because you run out of storage capacity. The yields to storing oil (the convenience yield) are so high that you make more money on the yield than selling the oil. Firms like Vitol and Trafigura were buying tankers like candy and storing oil all over the world. The ocean was full of these tankers just sitting on product. Everyone misjudged the economic recovery. We should have been hitting 2.5% GDP growth in 2010 and 2011 but we were stuck at 1%.
Then we had the crisis in Europe. Demand got killed there. Then throw in the fracking revolution which ironically came at the worst possible time and suddenly we tapped into oil we never thought we could reach. Then the Fed does a 180 and continues to printing money because they are afraid Europe takes us right back down into a recession. There were so many factors killing demand. Now you have all those things reversed going in the opposite direction. The world doesn't look anything like it did in 2010. How many people are talking about the Euro being torn apart? Nobody is, it's trading at 5 year highs. Now it's the dollar getting smoked. One thing you have to be careful of when looking at historical data is understanding context. It's the little subtleties that kill traders.
World GDP absolutely was not half of now in 2010. https://data.worldbank.org/indicator/NY.GDP.MKTP.CD
Which contango? This doesn't explain 2010 or much of 2011.
The GDP as demand issue doesn't support your narrative either.