You’re looking at two different data sets. You’re looking at cancer rates for all people, including elderly and relatively elderly who make up the vast majority of cancer deaths. The article is about cancer deaths among the young and relatively young. With so much less background noise, it’s easy to see why this signal would be visible among such people.
Um... reread the blog. It specifically claimed that the cancer rate was among the 75 to 84 age group, not about the young as you seem to think.
In order for the cancer death rate to increase in one group without affecting the overall cancer death rate, that would mean that deaths in another group dropped. Which also didn’t happen.
Try analyzing actual death rates for yourself, instead of believing some blogger who has never taken a science or statistics class.