I thought I had already added a futher response to this thread, seems I was mistaken.
I originally said 'don't panic', and I stand by that, I also a said if fault exists it does need to be investigated and put right.
Provided all the appliances are working correctly, phase reversal is not a danger, BUT if an appliance goes faulty and you have phase reversal then there is potential danger.
In the UK the wiring regulations are quite strictly adhered to and a professional electrician will test every installation they do to confirm that the live and neutral conductors are properly matched throughout. With such a high level of phase integrity it is reasonable to only switch the live circuit, and this will effectively isolate the supply current. Similarly the over current protection (OCP)= (fuses or MCB's) are in the Live (phase) side of the circuits. In the event that the OCP operates, the live side is disconnected, thus protecting the appliance circuit or operator.
Under UK conditions, this single sided isolation affords adequate protection, BUT if the supply phase has been reversed then even if an appliance has been turned off or the OCP has operated, the neutral conductors will still be at the live potential and thus still represent a hazard.
In many parts of the continent the same strict adherence to phase relationships is not observed. This is known and as a result products destined for the wider continent have to use Double pole switching to ensure that both the 'Live and neutral' circuits are disconnected simultaneously.
Phase reversal in a caravan should not be hazard, but in the interests of consistency and the UK wiring regulations the issue should be investigated and corrected.