You almost had me until that last paragraph!
His game is confidence based. Everyone knows he has immense talent, but he has gone from a "go out and do what you do" player at Liverpool to a "this is how you fit into our system, so do your job...oh, and do your magic when you get the chance!" I think the hat trick will have done him the world of good, because it will have shown him he CAN perform within a world class front line. His problem is that we bought TALENT and he seems to think we bought him solely because of what he did at Liverpool.
It is clear that he is not technically as good as the players around him. He has a bit of Dzeko or Jovetic about him, in that he has flashes of brilliance but too often disrupts the free flow of the attacking midfield by miscontrolling the ball, making a flick pass instead of a high percentage pass, and losing the ball when we have committed the entire midfield to attack. As an aside, this is exactly where Yaya, when he sits in the middle of the midfield, is the King...he controls the entire middle of the park when we have committed to attack and makes high percentage passes to the attacking players (Silva, Nasri, Navas, Aguero, KDB, Zabaleta, Kolarov, etc...) and then puts himself in a position to receive the ball again. That is what made him invaluable for the past few seasons, but it has become clear to everyone that against the top clubs, if we commit to attack and it breaks down, he simply WILL NOT (CANNOT???) put in the effort and desire to quickly become a defender...while everyone else is scrambling back and The 2 Ferns end up having to do all the donkey work and, too often, commit yellow card fouls to stop the counterattack.
It is hard to see where Yaya fits in away against the top teams, because he won't do the work...but he is coming towards the end of his City career. I would hate to say the same thing about Raheem at such an early stage in his career, but right now, he is down the pecking order (#3) for me in terms of our wide players, with Jesus and KDB playing better. Maybe, as I said earlier, he needs to spend more time on the training ground being coached, and working on both his first touch (control) and his last touch (pass), because what comes in between is not enough, even though it is pretty good!
The future is BLUE and Sterling is an integral part of it, so the sooner he gets with the program, the better for everyone.