Here's one use scenario: I use SET/RST rather than normal contacts sometimes, in combination with one-shotted inputs as an easy way to treat operator inputs and maintained machine logic as multiple start and stop button presses.
I work on a type of machine where the only automatic mode isn't really a mode, it's more like a script of actions the operator could do himself from the HMI, just automated, but all the operator controls are still active. "Start the exhaust fan and run till such and such pressure and rpm is obtained, but no less than five seconds. Start the combustion air blower and run till such and such pressure and rpm is obtained, and the combustion air flow switch is made...." and so on.
Rising edge of machine logic request for an ouput is a start button push, trailing edge is a stop button push. Using edge contacts, I can no longer do a normal circuit with a latch contact due to logic rules, so SET/RST comes to the rescue.