Earlier quoted context omitted.
The comparison was on case rate. Being obese doesn't make you more likely to catch the virus afaik.
Case rates can't be usefully compared between countries because they all have different testing practices. Being obese actually does make you more likely to catch the virus. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7430889/
I know at least one study that shows infection rates did not change with co-morbidities, see Fig 6b in https://www.nature.com/articles/s41467-020-19509-y
However I would not be surprised to see slightly higher infection rates mediated by healthier immune systems in healthier folks.