Stanford research published after that article provides that answer: Face shape. It's not just better cognitive performance but the alternative contributes to face shape commonly perceived as "not beautiful".
The Stanford research, and no I don't have a link, concludes there are two activities responsible for these traits: slurping soft foods and mouth breathing. The alternative to chewing hard foods is slurping soft foods and the frequent activity of slurping alters the shape of a person's face as they grow because humans were really only designed to consistently slurp soft foods in infancy, but the shape of the face will elongate to compensate for slurping along with inferior jaw bone strength.
The alternative to nose breathing is mouth breathing, which drastically lowers oxygen intake which mimics and contributes to sleep apnea like conditions even while awake. There is a measured cognitive decline associated with the degree of oxygen suppressed in air intake. Mouth breathing also negatively contributes to developmental face shape, but less so than slurping soft foods.