Does lower sugar consumption reduce cancer risk in some people?

Research conducted in the UK found people born during World War II and for several years afterwards, were less likely to be afflicted by some forms of cancer, later in life. During the war years, and for almost a decade afterwards, sugar was rationed in UK. The prevalence of some types of cancer: breast, prostate, liver, rectal, and lung, rose however in people born after the early 1950’s, once the availability of sugar returned to normal.