I don't buy that it is as simple as the writeup implies. (I didn't read actual research it is based on however.)
Is energy balance true? Yes. But as the paper implies, we don't have direct control of that. I suspect it is _what_ you eat.
Does insulin response matter? Yes, I assume so. But that is not the only factor.
If you are not getting proper nutrition, your body will ask for more food. Naturally we know what we need. We get a taste for broccoli if we need nutrients in broccoli. But if people have somehow short circuited their food sense and don't realize they need broccoli and instead they eat more hamburgers or fruit loops or whole grain bread, they won't get the nutrition they need, and they will probably still want more food.
So insulin response, nutrition, and I am sure there are other things too.