Search Filters Should Retain At A Structure Level
If you have several structures that you are attempting to manage when you switch between them your search panel tries a filter / set of search criteria from the *previous* structure. Then you have to figure out that you want to apply filter=29121 or whatever when you go from structure A to structure B.
David Morse commented
And PLEASE bring the search back to the issue view as well
Brian, thanks for your idea. We'll have a lot of changes in Structure 3.0 that might address this. If not, we also plan to schedule remake of the Search panel, which should include this change as well.
Also, in Structure 2.6 we'll release "Shared Perspectives" feature, which will let you to bookmark a specific URL that opens a given structure with a given view and a filter.