Hi mrbean,
I am not quite sure how this will benefit you as the Execution tab is solely for executions and when you start up your OI, there is no executions you are running. However, if you open up the Full OI's block diagram, you will notice a subVI called "Full OI - Show Appropriate Tabs". This is the VI that sets when the tabs are visible. If you change up that case structure for the ListBar (setting the different boolean constants), you can dictate which tabs are visible.
Hope this helps!
Best Regards,
Jonathan N.
National Instruments