Exactly? No, but you're seriously stretching for an argument if you're trying to say that they don't have a lot of the same basic controls. Or at least ones so similar that making an adjustment wouldn't feel like playing the genre for the first time again.
Burnout and Gran Turismo have the same basic controls, doesn't mean one will transfer to the other easily. Doom's speed and (from what I can tell) lack of aim-assist is very different from what a lot of shooters on consoles do. Looking through some of the footage again, I'm seeing a lot of issues of him accidentally walking past an enemy, pausing to make sure he can aim properly on the enemy, and the same issues that a bunch of FPS games have on consoles with enemies right on your face.