Really, does moisture content really have anything to do with the aging process of wood? I don't think so. I can show you old wood specimens with varying moisture content.
Aged wood is that in which the aromatic and volatile hydrocarbons have vented leaving a stiff medium/structure. This process is very complex and goes beyond just heating the wood. There is evidently a process involving oxidation of some sort. This is a slow process in natural conditions.
I find that light cabinets accelerate the aging process. The creation of ozone and oxidized oxygen may be key.
If heat treated wood (kiln dried) is kept below the boiling point of water, there is no cell damage. Above boiling, my wood turned to mush. Evidently the trapped steam exploded the cellular walls.
I agree with Oded that heat/cooling cycles are also important. That's why I store my wood in an unheated garage.
Are you refereing to the normal light cabinet use of a completed instrument or carvedd parts, or have you put whole billets into th box for a time beffre working on them?