This analysis does not mention cancer, and cancer's identification as a "modern disease" is greatly confounded by the fact that civilization has brought both increases in lifespan (revealing cancer; breast cancer rates in women are far higher above age 60 than below) and great increases in the ability to detect cancer (and thus link deaths to it). An excellent discussion of these issues is found in Siddhartha Mukherjee's Cancer, the Emperor of All Maladies.

You stated that when "hunter-gatherers switch to eating modern diets they start getting these diseases at high rates." What evidence is there for this claim in particular for cancer?