“State safety member” also includes officers and employees with the State Department of State Hospitals or the Department of Forestry and Fire Protection in the following classifications:

“State safety member” also includes an officer or employee of the State Department of State Hospitals at Patton State Hospital or Atascadero State Hospital, who either is excluded from the definition of state employee in subdivision (c) of Section

3513, or is a nonelected officer or employee of the executive branch of government who is not a member of the civil service. An officer or employee may be a state safety member under this paragraph only if the person has responsibility for the supervision of state safety personnel specified in the classifications listed in this section and if the State Personnel Board determines that these officers and employees meet the state safety membership criteria established pursuant to Section 18717. The Department of Human Resources shall determine which classes meet the above conditions and report its findings to this system, whereupon the change in membership categories shall take effect.