While trying to reproduce an issue from this thread, I came across something which perhaps shouldn't work the way it currently does.
If you copy an item from one grid and paste it into another grid choosing option ("1. Create new items and put them in this grid "), the "new item" is displayed with its Context Parents. There are two items with two different ID-Items having the same "Parent" although the "new one" is not shown under the parent. It might be because by copying the item, the field ItemParent is copied as well which is used for the "Context Parent View" (I am not sure, just speculating). Could the new item be created without the ItemParent, ItemGParent and have a "fresh start" so to speak :) ?