This is primarily driven by African American women, as can be seen in this chart:
So really, the question should be “Why are so many women fat?”.
Perhaps it usually has something to do with the ratio of burned to consumed calories being less than one. Just throwing out a wild idea here...
A glance at the Calorielab graphic from the actual article and your postulation is clear.
You have hit the nail on the head. Brown and black people tend to have a genetic propensity to obesity.