Good article, thank you for digging into the sources. The choice of a graph representing "mortality" is a good example of how one can demonstrate anything just by changing the way to represent the data.
Another great example is the number of cases of autism which seem to skyrocket after the introduction of the measle vaccine in the 70s, which is in fact due to the drastic changes in diagnostic standards around the same time:
http://onlinelibrary.wiley.com/doi/10.1002/mrdd.10029/abstract