@LincolnDirector
I doubt it has to do with customizing the report, as reports generally detect the need to refresh every time the data changes, whether or not it will impact the report.
Reports refresh differently, or not at all, based on your preference. If set to "Don't Refresh" then they won't.
Change the preference at Edit | Preferences | Reports & Graphs | My Preferences and then in the Reports & Graphs box, pick from the available options:
