[JKT]

It means that when you take a snapshot it preserves the view of the project mode if you are in context mode or of the context mode when you are in project mode, so that when you restore it, your selections, views and columns in both views are restored. If you don't select that option, then the state of the other view is not preserved (I assume, haven't tried not setting that toggle myself).

The latter problem you are having might be because you haven't checked this option?