I can't see any reason why this particular make should have any special problems, Jacdor.
I guess you mean water running off the outside of the cistern. This will happen because, being full of cold water, it's a good place for condensation to form.
It's probably just a case of not enough ventilation in the room, and possibly not enough heating.
Do you have an extractor fan?
Because it is inside a vanity unit so won't show, you could insulate it from warm moisture-laden air using fibreglass or the sort of material (fibreglass inside a plastic jacket) that hot water tanks can be covered with.
It's the same principle as insulating a hot water tank in reverse - you would be insulating the cold cistern with the warm surrounding air.