It has to do with the relative timing time-current curves of the OCPD's. A listed series combination of OCPD's, will mean that the upstream OCPD will trip before the downstream OCPD with less KAIC or SCCR will catastrophically fail. A combination only gets to take credit for series ratings, if the products are documented as having passed the series rating tests.
You will often see part of the part numbers in the chart, telling you that certain product families of breakers are series rated with a related product family of breakers. For instance, Square D QO breakers, are series rated with Square D MG breakers. It is rare (if ever) that breakers of different manufacturers will carry a series rating. Fuses can be series rated with breakers, and it is often identified by the fuse class, so that it is agnostic to the manufacturer of the fuses. For instance, class J fuses are series rated with Square D QO breakers, and it wouldn't matter if it is a fuse from Bussmann, Mersen, or Littelfuse.
As an example. Suppose you have a main breaker at 22 kaic, and series-rated branch breakers at 10 kaic. For faults up to 10 kA, either the branch breakers or the main breakers can interrupt the fault safely. For faults between 10kA and 22 kA, the listing as a series rated combination means that the main breaker will safely interrupt the fault, before it has a chance to damage the 10 kA breaker. Faults above 22kA could either damage one breaker or both breakers.
While not strictly a requirement to comply with the NEC, ideally you would want the branch breaker to be more likely to trip first, so that only the faulted branch circuit gets shut off. This is called selective coordination. You want a cross-over in the time-current curves overlaid on each other, so that the main breaker trips first on high current faults, and the branch breaker trips first on low current faults.
You would start with the available fault current at the main panel, and then apply the calculation to account for the feeder's impedance. This assumes no loads within the subpanel are significant sources of fault current, such as motors. You could either use a subpanel rated "in its own right" for the available fault current at its position, or you could use a subpanel with its breakers series rated with any of the upstream breakers that supply the feeder.