An opamp and a pair of BJTs will be cheaper than the LT part:

The opamp runs as a differential amplifier and the gain is configured such that the opamp output exceeds ~0.7V when the desired load current limit is reached. Just make sure that you observe the common-mode input voltage range of the opamp.
This turns on Q1, which then turns on Q2, latching Q1 on such that the output remains low even if the load current then drops and the opamp output goes low.
The capacitors in the BJT latching circuit affect how fast it latches. Primarily R8 and C1. The larger the current overload, the faster the latching speed.