I doubt that line reactors would be suitable for the current limiting function. I suspect that their magnetic core would start to saturate at a fraction of the system voltage that they are rated for. That's OK because the voltage developed across them will be relatively small in a line reactor application, and so saturation will not normally occur. As a result, only a shorter air gap within the magnetic path of the core would be needed to maintain linear operation without saturation, allowing more reactance to be achieved in a smaller physical size.
If a reactor starts to saturate its impedance will drop drastically if additional voltage is applied, as it will during a bolted fault. And therefore a current limiting reactor needs to have a sufficiently long air gap in its core to prevent saturation and maintain its reactance during a fault. But this will decrease its nominal amount of reactance, and therefore for the current limiting function a physically larger reactor will be needed to obtain a given reactance, which obviously adds to its cost.
Another issue is that a current limiting reactor needs to withstand the mechanical forces from large magnetic fields during a fault. I've seen this referred to as the mechanical current rating of a current limiting reactor.
This is one company that makes current limiting reactors:
https://lcmagnetics.com/inductors/current-limiting-reactor/