I have come across desiccant dehumidifiers that use absorbent materials that look similar to vermiculite. They normally consist of a slow rotating disc made from said desiccant that the wet air stream passes through and gives up its moisture. As the disc rotates it then passes through some form of heater to dry it out before entering the wet air stream again.
The system you describe though raises for me, the following questions:
1. If the desiccant has to have sufficient capacity to absorb the steam and moisture from a shower, or several showers and yet dry naturally, how much of the stuff is there up there?
2. If it has to dry naturally at a slow rate, how is it arranged? I fail to see how a mass of the material packed in a dustbin sized container will ever dry naturally, especially in a roof that is only a few degrees above freezing in the winter.
3. What's the point of it? a dehumidifier is used to return the dry air to the room it came from, so that heat is not lost, with what you describe the air enters the loft and is wasted anyway.
4. Will it really completely remove all of the moisture? I'm uncomfortable with the idea of the air just being blown into the loft space, and some lofts are insufficiently ventilated already.
So here's what you need to do. Instead of all of this guessing and supposition, go around, look at the unit and post back on here the name of the manufacturer and the name of the product, as you said you were going to do last Tuesday.
I will get into her loft and take a look