Yep. RCD's tripping with the "wrong" polarity strikes me as an big indication that something isn't quite what it should be with the caravan wiring.
I should hope it places a resistor between L and N and across the current transformer. So that it actually tests what it is supposed to be doing rather than relying on another path that might not exist.
L ------ CT -------+--->
| +-- R -- TB --+ LOAD | N ---+-- CT ----------->