Not necessarily. What 110.22(B) is telling you, is that if you desire to take credit for a series rated combination of equipment, such that the downstream device can have a lower KAIC/SCCR rating to withstand fault current, you'd have to use a series rated combination of devices.
If you mix brands of equipment, then both devices need to be independently able to withstand the available fault current at each location. Very likely, this means that they would both have to have the KAIC/SCCR rating to meet or exceed what is required for the upstream device. But there is the possibility that the impedance of the feeder alone, can reduce the fault current by the time you connect to the downstream device, which would allow downstream device to have a lower KAIC/SCCR rating, even if not a series rated combination.