It doesn't pass the smell test.
In 1990, US was 18.7% obese with a cancer incidence of 1,760, UK and Australia at 780.
Most recent is 2016 showing Australia and UK at 30% obesity, yet their cancer incidence is lower than ever at 750 and 682, respectively.
Everyone but the US (and Poland) are increasing their obesity while their cancer incidence is flat or decreasing: https://ourworldindata.org/grapher/share-of-adults-defined-a...