Any way to have the Project column display after doing a search?

I have a window I used everyday, containing a number of tabs based on commonly used perspectives. I use one of the tabs for searching (not finding) everything. Its perspective has a structure of: Organized; Organize: Individual Actions; Groups actions by: Ungrouped; Sort actions by: Projects Order; Preserve hierarchy (not enabled); Mac layout: Custom Columns (that includes Project).

After running a search, the outline displays without the projects column. I do random cleanup of actions without a project (in various views), by assigning a project, and would like to be able to do so in the outline—by tabbing and assigning—rather than having to click on the project field in the inspector.

Is there any way to achieve what I’m after?