Being overweight is a much stronger correlate to cancer and heart disease than "sugar".
And, despite what you might have read in the press, it's nowhere near a consensus that sugar is the primary cause of being overweight. You really think a 50-year-old study is the smoking gun that's going to usher in a consensus among nutrition scientists everywhere?
Personally, I buy Stephen Guyenet's theory that palatability is the driver of overweight. I think it's increasing palatability and falling food costs.