What are the effects that management styles of CEOs in private sector have on a employees Turnover?

It depends on pay for the employees. Well paid can tolerate a lot of nonsense from a CEO.

Turnover: k/L

where k= job dissatisfaction
L= amount of pay

CEO Styles that contribute to job dissatisfaction> No vision, authoritarianism, inconsistency, temperament, favoritism, sexism, et al.