Doing a tough 1 hour exercise is not the same as being on your feet all day. You may be able to offset doing nothing all day with a burst of effort. You may not. People who are moving constantly are very rarely fat.
I cannot find their article on professions. I’d be very skeptical. In general being poor in America means a terrible diet is likely so that’s a huge part of the equation. It seems very unlikely that exposure to endocrine disrupters varies enough to explain the differences. People in poverty will have a huge variance in exposure but the obesity rates are high across the board.
Especially if you see something like… idk, factory workers being called high exposure having high obesity but lower obesity than something like a dmv clerk that’s totally sedentary but at worst median level exposure.
Some groups will get HUGELY more exposure to some chemicals. I’m not convinced at all they represent the fattest groups. Which is a strong counterpoint if one is trying to claim this is the strongest effect.