There's a really good book on this that warrants a read...it's called Outliers by Malcolm Gladwell. He argues that it is where you are from...how you grew up for example, that determines success.
I think that there is no impact of hereditic factors on leadership style, we can say that leadership is influenced by competencies components: knowledge, skills, values, motives and self-concept
Decades of leadership research has focus on this issue. In fact, many companies have deliberately focused on identifying, recruiting, assessing and developing leadership talent.
Let’s look 2 questions: What does it take to be an effective leader? Are leaders “born” or “made?”
The answer to these questions have engaged leadership researcher for decades.
The research has shown that to some extent effective leaders are born with some genetic and other tendencies that fit the respective leadership role. However, research has also indicated that leaders are also made through life experiences and formal developmental efforts.
Let us examine further each of these two propositions.
Research indicate that leaders who were born with certain characteristics, such as, extroversion, conscientiousness, openness to new experiences, emotional stability, and general intelligence have occupied leadership positions within organizations and at national levels.
On the other hand, research has also shown that key leadership competencies, such as, written and oral communications skills, charisma (the ability to inspire and influence others), and social adeptness and cultural intelligence (including ability to deal with diversity) were acquired by effective leaders
We can therefore conclude that effective leaders are people who are conscientious, extroverted, open to new experience, emotionally stable, and intelligent and who also seek to build competences through formal education, whether graduate management studies, leadership development workshops, and/or through accumulated career-building work experience.
Further, recent leadership research has emphasized authentic and servant leadership qualities as important for leadership effectiveness. Therefore, individuals may be born with varying inclinations toward leadership virtues but unless these leadership behaviours are put into practice daily they will not become “habit forming and an ingrained part” of a leader’s character, a necessity for leadership effectiveness.
I think you can't disregard heredity factors when looking at the capacity of individuals to lead others. e.g., first born individuals may have to take responsibility for their brothers and sisters, which would give them significant opportunities to learn about leadership, management, and responsibility.
The key question is whether such opportunities can be translated into effective actions within the workplace or community, beyond what their brothers or sisters could achieve.