Good summary about correlations between facial shape and other traits:
Facial morphology provides a particularly useful proxy measure for male
behaviour, and the wealth of historical photographs and data available
allow hypotheses essential to the study of human evolution to be tested.
Research has demonstrated that male facial morphology can predict social dom-
inance [6], sexual attractiveness [7,8], reproductive success [9,10], testosterone
levels [11] as well as strength and fighting ability [12]. In particular, the facial
width-to-height ratio (fWHR, [13]; figure 1) predicts a suite of characters in
males: aggressiveness [14,15], mortality in violent conflicts [16], cooperative
ability [17] and trustworthiness [18,19]. Wider-faced men have higher testoster-
one levels [20], are more aggressive ([14,15]; but see [21,22]), and are perceived
by others to be more aggressive [23]. Wider-faced males exploit trust more
often, and others tend to trust thinner-faced males more readily [18,19], how-
ever, in the presence of competition, wider-faced males have also been
shown to demonstrate greater cooperation with peers [17]
https://www.researchgate.net/publication/236666095_Facial_morphology_predicts_male_fitness_and_rank_but_not_survival_in_Second_World_War_Finnish_soldiers