On the political front, the document encourages people to reject that cancer predilection is stochastic and to encourage the continued study of cancer.
The scientific component attempts to provide an underpinning to the political goal. It uses a handful of epidemiological examples, such as the climbing incidence of colorectal cancer in Japan over a genetically-insignificant timescale (which suggests an environmental factor at play).
The article fails to support its headline ('Most types of cancer not due to "bad luck"') through any scientific instrument. While its policy goal (the continued pursuit of the causes of cancer) is reasonable, nobody is saying that we now know that cancer is predominantly caused by bad luck so we should stop studying it (certainly not Vogelstein, whose career is built on the study of cancer).
Overall, it's not clear to me why this was published.