Splatt,
I used boxes a pine shavings similar to the Warre Quilt Box last winter on all my Langstroth hives. Compared to the 27 out of 30 I lost the previous winter, I didn't lose any colonies last year. Granted, it wasn't much a winter last year, but they likely contributed to my 0% losses last winter and my increase to 150 colonies this year. The one point I would make is the shaving don't absorb moisture from the ambient air, as most folks think. Instead, they appear to catch the condensation from the inner cover before it rains on your cluster. When checked through the winter, only the upper inch of shaving ever felt damp, but even that was rare.
I put the quilt box (a medium with window screening stapled to the bottom about 2/3 full of shavings) on top of upper-most box, then the standard inner cover is placed on top of the quilt box, topped off by a telescoping slid forward to expose the ventilation notch. I placed remote thermometer/hygrometers (Meade TM005-X) in two hives and recorded less than 80% relative humidity the entire season until removal at spring inspections. (Note: Relative humidity did mirror changes in outside relative humidity.) I did not experience any mold growth or vermin infestation in the colonies or shavings, unlike the previous years. I did have minor mold growth on the tops of some of the inner covers. Although these quilt boxes appeared to help in colony survival and help eliminate previous moisture problems, the mild winter and my other management may have contributed to the lack of losses. I also cut off the landing boards on all the bottom boards (to prevent the accumulation of snow and ice at the entrance), left all the screened bottom boards open, used entrance reducers to help against robbing, used 1/4" hardware cloth as a mouse preventative, raised all hives onto a pair of chimney blocks to prevent skunk problems, and wrapped each hive with black felt paper for solar gain so the bees could break cluster to access food better and an unanticipated benefit of snow melt around the hives eliminating shoveling snow away from the entrances. Also note, I don't use top entrances. I was trying to achieve a stratification of heat in the hive. I was trying to test the hypothesis that bees only warm the cluster, not the box. Since hive temperature recordings never dipped below 75F, it appears the cluster will heat the hive to some degree, and is retained if not allowed to vent though upper entrances.
Being a skeptic, I don't want to imply these quilt boxes are a silver bullet to colony survival. They might be another tool for us to consider if your local overwintering environment would benefit from the insulating and moisture control this device aids.
Hope this helps,
Steve