I am not sure. Looks like you are best off being active at a given altitude rather than sleeping, in terms of acclimatization. Seems like sleeping can be a difficult part of the acclimatization process, which is why you want to sleep low (and, in my case, take diamox to ward off periodic breathing, which apparently comes in part because you are no longer consciously engaging in breathing). After all, HAPE and HACE hit more often when you are sleeping. In short, the fact that, when you are sleeping low, your body reacts as if you were higher, would appear to reflect the difficulty of acclimatizing when you are sleeping, rather than a boost to the acclimatization process per se.