Going on line I see that webasto have had an electrically powered heater that appears to have been developed and first marketed in 2012 or thereabouts. I'm not familiar with such systems, but from what I've read about them, they heat water, but thereafter I don't know what is done with the hot water, maybe to some sort of radiator system with electric blowers to spread the warmth around.
Looking at the pipe you show in one of your pictures along with your description I would imagine that this is an overflow or excess pressure relief system that would allow excess hot water/pressure to be exhausted safely to atmosphere. Perhaps there is a fitting on your heater to which the hose should be connected, so perhaps a close inspection of the heater is needed, and preferably while it is not actually running.
If your heater is diesel powered, then you would have a stainless steel exhaust system of about the same size as the pipe you show. On my eberspacher heater this is a 22mm diameter coil wound tube to allow flexibility, but which is lagged and further protected by a 55mm diameter aluminium flexible tube. You need to check and be certain whether yours is electrically or diesel powered.