So if you are treating the caravan as an appliance with a flex and plug you need to consider how to test the RCD.
When portable appliance testing you may need to test plug-in RCD devices, plugs and adapters. If you know what you are doing you can make up a fly lead testing adapter that uses the neutral as earth just for portable RCD testing and when for you are checking your own test meters, so you can do a high-loop test on a RCD protected circuit without the installation RCD tripping.
The downside of that is that with Class I appliances, exposed-conductive-parts become connected to a live conductor. In the case of a caravan, the "chassis" is [should be] connected to PE, so that becomes connected to a live conductor also.
In some existing premises, industrial socket-outlets are present which aren't yet RCD protected, because it wasn't a requirement in BS 7671 at the time.
If I were looking what to do now, I think I would be leaning to RCD protection for the outlet the caravan is connected to, and do the "up/down" test in the caravan being the safest option?
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