The term "latching current limiter" sounds erroneous or at least misleading. A latching overcurrent protection will shutdown the power supply if the trip level is exceeded once. A current limiter will keep a maximum current value continuously, a foldback limiter will additionally reduce the current with decreasing output voltage, e.g. to reduce the power dissipation of an output transistor.
If you load a foldback current limiter with constant current you may achieve a (probably unwanted) latching behaviour.