Some caravanner's are happy to use the water supply systems which use a pressure regulator valve built into the hose pipe. In general these do seem to be fairly reliable, and don't allow excess pressure through. That's fine as long as they do continue to work properly. But I know from professional experience, that when they do fail, the consequences are very disruptive and distressing to the caravanner, and can be expensive, when water heaters need to be repaired or replaced, as they are not waranteed against over pressure supplies.
Also because of the the majority of the pressure regulators are of a similar size, they have a lower flow rate through the valve, and several caravanner's have reported poor flow rates compared to their normal water pumps.
In addition, there have also been incidents, where poor flow and pressure have been caused by the camping sites pipe work that cannot cope with the maximum demand for water at peak times, obviously this is not the fault of the pressure reducer, but it's only caravanner's who use them that experience it.
There is an effective solution to all of the above, and that is to continue to use your water pump in a storage vessel next to the caravan, and using a float control valve to control the vessels filling from mains water.
Because the system is vented, if the pressure valve fails the water will only over flow the storage container, and not flood the inside of the caravan. Having typically 30 or more litres of storage will cover the inadequacies of the sites pipe work, and you maintain the flow delivery of water through the caravans pipe work.
A simple and demonstrably safer and better solution.