I take issue with that. Here are the statistics for breast cancer and prostate cancer (new cases and deaths) by year: http://seer.cancer.gov/statfacts/html/breast.html http://seer.cancer.gov/statfacts/html/prost.html
The incidence of thyroid cancer has in fact increased, but it was hardly a killer in the first place.
I find the 'turtles-and-rabbits' analogy to be misleading. Plenty of 'turtles' can undergo a transformation and become much faster (at killing you).