The benefit of Secretary of Interior happens at resource collection, world map resource collection, and Rapid Production collection. It can be passed to the next player immediately after collection.
A way to use this to the fullest benefit is:
- Stack as many world map loot collection resources as possible.
- Get base resources collections to max (they turn yellow).
- Wait for Rapid Production to refresh.
- Get Secretary of Interior from the First Lady, and then collect all the above resources.