In the electrical field when you say "current limiting fuse" they are not talking about what every fuse does 'interrupt during an over current event'. They're talking about something completely different!
The electrical protection devices in all equipment have a limited ability to interrupt current during a fault. If the SOURCE is above a certain capacity then an underrated interrupter will fail to interrupt the fault. What transpires next is not pretty and can sometimes lead to fire trucks, hose streams, and other unpleasantries.
Because of this, electrical equipment is designed for sources up to a certain capacity. You will note on things that interrupt faults, an interrupt capability listing. You will see numbers like 10kA or 30kA or 100kA. Look at any circuit breaker you find in home panel. A device capable of interrupting 10kA will utterly fail to interrupt 100kA of available current.
"I only have 200A service so I don't have to worry about 10kA", you may think, but you'd possibly be wrong.
What sets the available fault current is the power network supplying the power. If the utility transformer has a certain current rating and the cables bringing that supply into the facility are short and large then the instantaneous delivery ability could well be much much higher than 10kA. This has to be worked out by an engineer typically so that either the system can be modified to reduce the available fault current or everything downstream needs to be rated for interruption of the available current.
Back the 'current limiting' fuse question. In many situations the use of special 'current limiting' fuses means they themselves can be used to remediate the available source fault current to something much lower than what's otherwise available. If a system states it needs to be protected via current limiting fuses then that means the 'thing', whatever it is, likely would not be able to interrupt 'typically available' fault currents by itself. Hence the specified special fuse type.