Except as otherwise provided, the Commissioner of Mental Health and Addiction Services shall appoint and remove (1) the superintendents and directors of state-operated facilities and divisions constituting the Department of Mental Health and Addiction Services, and (2) the director of the Whiting Forensic Hospital, who shall report to the commissioner and shall have as such director’s sole responsibility the administration of the Whiting Forensic Hospital. Each superintendent or director shall be a qualified person with experience in health, hospital or mental health administration.