Professional skills and behavioral aspects definitely influence the immediate environment. In particular, in a corporation, organizational behavior depends on the leader's behavior. That is, people who work in corporations follow the principles of such a leader. These are known confirmed hypotheses in the works of various experts.
In your case, performance in school will depend on the leadership skills of both teachers and students themselves. In any community there are opinion leaders. Accordingly, the correlation of academic performance can be sought in the personal characteristics of these leaders and their influence on the surroundings.
my answer is yes leadership behavior and professional development affect school performance.
In explaining my response, I will use/translate leadership behavior to mean what the leader does. this is determined by values of a leader and their capabilities and is interpreted as leadershipstyle. Professional development refers to growth in skills and competencies. In my observation transformational and servant leadership styles are common in academia/education sector. These leaders often promote performance. This does not mean other styles do not. Leadership styles such as transactional may not do well where the reward systems are not aligned with education deliverables. But in instances where there are direct benefits attached to performance, an individual will do their best to attain the best results and get the reward.
leadership behavior sets the tone for the entire school community, influencing the culture, collaboration, and overall commitment to educational excellence. Professional development complements this by ensuring educators remain skilled and informed, ultimately enhancing the quality of teaching and positively impacting school performance.