To clarify with certainty:
An N-E fault downstream of an RCD can cause it to fail a test. because some of the leakage current generated by the tester can 'get back into' the neutral via the fault and go back through the RCD, hence reducing the imbalance. Equally, the N-E fault can defeat the RCD's own test button, because that might simply send some current from the L-in terminal to the N-out terminal, only for it then to disappear down into the CPC via the fault without returning through the RCD to create the imbalance.
But this only happens on circuits protected by the RCD in question. An N-E fault on a circuit protected by a different RCD won't affect the first one. That is logical: N & E are always connected together upstream of the RCD anyhow, whether at the origin (TN-C-S) or the substation (TN-S) so it doesn't matter if they are also connected at an upstream fault.
What can happen that 'crosses over' from circuits on one RCD to another, is the effect of a heavy load current showing up an N-E fault and causing a trip. In that case, it doesn't matter where the load is, whether on the RCD that trips or another. Anything that creates voltage drop in the supply neutral can raise the N-E voltage and drive current through the fault. The fault will however always be on the one that trips.