How often does that happen?
I've just come back from almost[1] fixing an issue with a washing machine which was reliably tripping the kitchen-circuit RCD in a flat.
Isolating the various stages of the connection, it was inside the moulded plug, which from the visible black smoke stains on the socket faceplate had perhaps been subjected to a certain amount of overheating (but not enough to distort the plastic of the plug) due to a weak spring clip or maybe loose connection, inside the wall-mounted 13A plate under the counter.
Having got the moulded-on plug home, it has (at cheap test-meter voltages) a 300Kohm short between the live and earth.
[1] A full fix requires the landlord to replace the wall socket. Into which my complainant can then plug their washing machine with my newly fitted non-moulded plug.