the study of the ancient world allows you to study leadership in an interdisciplinary fashion: language, art, material culture, values, stories, symbols, and emotions.
Ancient influence networks depended heavily on social practices like slavery, dowries/bride-prices, cursus honorum, typical unprofessionalization of bureaucracy.
the study of ancient world puts you in the mind of ancient leaders, so that you can experience their emotional stresses and decision-making process. It is a kind of experiential learning.
the study of the ancient world teaches emotional intelligence (EI): self-awareness (e.g., of your strengths/weaknesses, emotional states, and impact on others), self-regulation, social skill, empathy/perspective-taking.
studying leadership--in any way--is no substitute for *practicing* leadership. There is no example of a leader who can simply study for the role and then be good at it on the first try (e.g., boss, coach, teacher, statesperson, artist).