ATL431: Load capacitance requirements for series regulator circuit

Part Number: ATL431


I want to implement a precision series regulator (as shown in the figure attached) using the ATL431. In this configuration, is the ATL431 still subject to stability issues due to CKA capacitance? If so are the capacitance values in Figures 14 through figure 21 still valid? Should there be a capacitor between cathode and anode of ATL431 or across the output or both?

Thanks in advance for any insight provided,