My understanding is that if OCPD A and B are series rated, and you add OCPD C in between A and B, that affects the series rating. During a fault event, the series rating of A and B is based on a fixed impedance between them. The OCPD C would be a dynamic impedance during the fault as it starts to open, and that will affect the opening behavior of A and B.
But maybe I've lost track of the configuration in this thread here, and when you said "between the existing equipment" you didn't mean "between the series rated OCPDs".
Cheers, Wayne