The whole reason I play SEIV is to role play in my single player games. I try to imagine what its like to "be there" and come up with little mini-dramas in my head to explain why something happened.
Like the time I had an enemy fleet closing in on an undefended wormhole, and there was a small fleet of mine in need of repair on the wrong side and I barely had enough time to close the wormhole. I imagined the commander of the wormhole closer contacting the head of the fleet:
"We have some bad news. I have orders to close this wormhole NOW".
"We just need 2 more weeks to make it though! My men, OUR men have been sacrificing their lives on the front lines! Dont cut us off now!"
"Im sorry, I have my orders... May the gods have mercy on your souls."
"Same to you, you'll need it more than we will".
Or when I send a colony ship to find out if there are mines somewhere, whoops, miscommunication
Or the time I had a race with a huge enemy fleet that was closing in on the homeworld of an ally. They had ravaged their system and my fleet showed up just in time.
Or recently, after having read "Enders Game" I imagine.... well, I wont give away the plot.....
As far as thinking about the game, sheesh, I can't stop.... I write down what I did right or wrong at the end of each game and plot out strategy during the day.