One of the coolest things about the game of Shadowrun of Yesterday that we did, was that thanks to using Shadow of Yesterday rules, I had much more control over the narrative of the story.
Case in point: the Cyberzombies busted in. In a normal game of Shadowrun, one of two things would have happened. 1) The players manage to somehow take down the cyberzombies. 2) more likely, the players shoot back in an intense firefight, cause that's what players do, and the cyberzombies would have eaten them for lunch.
Two vastly different systems. In Shadowrun, which is pretty hard core "Sim", the rules are the boss. With TSOY, which gives alot of space to "Narrative", I had the ability to direct the story by deciding the stakes. And I guess that's the difference. With Shadowrun, I have no real control over the stakes/outcome. Its all down to the dice. I can influence it, by rolling more dice, but I can't control it. With TSOY, we talk about what happens, instead of letting the dice decide for us.