According to the Health  and safety Executive
here
legionella bacteria can be found in  many  natural  water  sources. below 20C they  will be dormant  and above 60C they die.
Most  domestic water has been filtered and treated enough to reduce the risk of LD infection becoming  a danger,  but the problem usually  arises in the way the water is stored or used within buildings,  where tanks and pipes can be exposed to temperature's that  can activate dormant bacterium  and facilitate its reproduction.
There can be little doubt that  water  systems used in  touring  caravans can also experience ranges of temperature that  would be suitable for the LD and other  undesirable growths to multiply, especially  whilst the caravan is in storage.
It  is therefore a sensible precaution to  thoroughly clean your water  system after a period of non use,  using sterilising fluids or other  proprietary cleaners. Don't  forget to  also  clean your shower head,  and taps.
When in daily  use,  water  systems will normally h ave sufficient  through put to to prevent  an unsafe build up of bacterium,  also  helped by the hot  water reaching  60C in the tank.
If LD had been a big problem in touring  caravans I  think  we would have seen reports of it, and a big push from the clubs and magazines about  how to  manage it, but  I  can't recall seeing  any  reports - suggesting it isn't major issue,  however that  doesn't mean we shouldn't take reasonable precautions and keep a watchful eye out  for it.