Hi Morganic,
Don't know about the rechargable dehumidifier but I have used a small mains powered model in my van for the last six winters with a noticable difference.
The question of dehumidifiers has came up quite often on here, some are set against it saying "its no use and you are trying to dehumidify the world" or "it will dry out the interior wood of the caravan". Although those two points do seem to contradict one another.
I can only speak from my own experience of using one. I am fortunate enough to be able to store my van in my drive way so a power supply is no problem. For approx 14 years my van was stored without a dehumidifier in the winter but about six years ago I bought a small unit intended for use in a single room. Prior to using it I found that cupboard doors which were left open to allow circulation became so swollen with moisture that they would not close properly although when they dried out in the Spring they were fine. Where I live we are prone to heavy frost and I found that at these times the interior suraces, especially ceiling had a thin smear of moisture or condensation. That all stoppped when I used the dehumidifier. I am also unable to take the upholstery indooors due to lack of space, that also feels much drier.
Dehumidifiers have settings similar to a thermostat on a heater with which to regulate humidity. The one I use just now goes from 1 (dry) up to 10 (humid). I set it around 4 or 5 and let it run. I go out a couple of times a week to check it and empty if required. Often when I enter the van the machine is not running, even on a damp day, as the air inside has reached the set humidity,so it does not constantly run trying to dehumidify the world. if I leave the van door open for five minutes it would then start up.
From my own personal experience I would recommend using one, but each to their own although I wonder if those against them have actually tried one or are just convinced of their own arguements
Robert