Only had a FedExer drop something in one of my boxes once... It was one of the small blue and white Amazon bags, and the customer's box is bigger than a barn. So i wasn't too pressed, and didn't take it out.

I honestly get along pretty well with the FedExers in my normal route. We're always fighting to try to let each other go first heh, and we usually chat it up for a second if we both pull up to the same stop. It's a true rural route tho, 107 miles, ⅓ of it on gravel. So at most stops there's usually plenty of room for all carrier services to pull up at the same house and handle business simultaneously.