Quick update: I was able to restore it to both views by going to the report, view tab under this report (I had it open in a tab after it disappeared in the administrative area or else I don't know I'd be able to access it), and checking "Report shared with other operators" but having no operators or groups defined as authorized. Once a group was defined as authorized, it no longer appeared on the delivery views, even for admins who have global rights set up in the tool.
