I'm inclined to agree with IanB's assessment of the situation. When you look at the risk profile of a caravan LPG system, the vast majority of the system is is made from solid copper and brass items. These are inherently strong and long lasting and as such th erisk of burst failure is very very small. The most vulnerable parts are the pigtails between the gas cylinder and the regulator and the regulators internal diaphragm, but considering the usage case, these are all quite well protected inside the gas cylinder locker and are unlikely to be snagged when towing.
Of course whilst towing the gas bottles should be turned off at the valve on the bottle anyway.
Again as IanB points out, by introducing the device into the system, you are actually introducing another potential failure point. And you also need to consider how to check your safety device safely.
There can be a value to a pressure gauge if you understand how an LPG cylinder works, becasue as has again be stated the actual bottle pressure is determined by the type of gas you are using (liquefied Propane temperature and pressure coefficient is very different to Butane ) and will vary with the temperature of the vapour fill in the cylinder. In practice a pressure gauge tells you nothing about how full a cylinder is with LPG, as long as there is some liquefied content in th e cylinder the vapour pressure is solely determined by the temperature of the cylinder, the gauge will only really show a reducing pressure when all the liquified content has boiled off to vapour and it is used up.
I'm sure there are situations where such a device has some real safety purpose, and whilst it won't harm your system, I can't see it providing any real safety value to a touring caravan.
Just follow normal caravanning good practice of ensuring your gas cylinder valve is properly turned of when ever traveling.
This is an example of a solution searching for a problem and I rate it alongside Tyre bands which is a whole separate debate.