So, in the case of the aforementioned Stagg, the distillate went into the barrels at 125 proof, and came out at 144. Clearly, the angel's share preferred to take water over distillate.
That said, the yield was horrible -- 10-15 gallons of spirit per barrel out of an initial barrel capacity of 55 gallons.
That said, I question whether humidity has as much to do with it as atmospheric pressure does. The benefits of barreling something like bourbon in a place like Kentucky is that they have 4 full seasons, and the variance in atmospheric pressure from cold winter to hot summer creates something of a capillary effect in the distillate -- as the weather gets hotter (and maybe more humid) the distillate pushes into the barrels, but pulls out during the cooler months.
Just putting the barrels in a hot place for its entire aging process might accelerate the aging, or it might mean that because it loses the breathing effect, it might extract more of the tannins and less desirable elements from the barrels.