Ok, are we talking Date-wheel or DWO, you post title is a little confusing ? But to expand, a date wheel out of say a 2824-2 will go to another 2824-2 directly and should align with the date window on the dial precisely, there may be a slight variation, but it should be that slight it will be virtually unnoticeable. That is presuming they are either both Swiss or both Asian movements.
if your talking about DWO's then this is not the case. If you take the whole movement (including the DWO) and dial out of one case and fit it to another then it should align as previously viewed in the original case. Any date misalignment in the first case will be transferred to the second case.
its all a bit confusing, and I still don't know if I've answered your question correctly, but hope it helps.