The channels in Ditra will allow the stuff below to breath as long as the outter edges are not closed in. But, there is a limit on how much water vapor it can handle. You won't get any appreciable moisture to go up through it, but if you've got tile there, not much would get through in the first place. Between the fleece and the thinset holding it down the structure itself has about 1/8" high grid of interconnected channels throughout the material and is one approved material that can be installed on green concrete, or if there's a slight vapor issue. CBU generally isn't considered a structural material...not sure if your sleepers and foam are perfectly the same height it would make much of any difference on a floor with 1/4 or 1/2" stuff. The install instructions call for a spread of thinset underneath almost all cbu boards, and the whole purpose of that is not to anchor it, but to fill any minor voids to provide 100% support. I'd call the manufacturer to check out their thoughts. If you can stand the height and increased cost, go with 1/2" stuff, but I'm not sure you need it.