At the risk of being shot down, I disagree with the above assessments. I watched Man City for a bit last night and there are lots of times they are languid in possession, going forwards, backwards, sideways etc whilst retaining possession of the football. There were several times, in trying to go forward progressively, they lost the ball and Guardiola was fuming - Mahrez was particularly guilty of this. He views it that don't give up after 30 passes, when if you'd made 5-10 more it would've broken the opposition system and you're creating a really good chance. What I will say is we are not incisive enough - we try a few progressive passes which get picked off and the players go ultra cautious. What is missing is a high press - we are not closing down consistently and collectively enough to win the ball back high up the field. I suspect this is because, even with Maguire at the back, we lack pace and are scared of being passed around and picked off (a bit like Palace did to us last Dec) especially at home. I don't think changing the manager would change the style - every Premier League club is trying to play a possession based game and some are doing it better than others. Bournemouth are doing it well, but they are pressing really high up the pitch and aggressively, even Huddersfield are improving with it. Just because Puel is softly-spoken, articulate, calm and measured doesn't mean he is a bad manager - gone are the days of tea-cup throwing and hairdryers with the modern professionals. We do still counter-attack (Ihenacho's goal vs Huddersfield) but is a far more measured approach which I think the young squad is still learning - it is not easy and may require additional signings and changes of personnel. I would also propose an adaptation to 352 - this would free up Maddision from defensive responsibilities. The summer signings, with the exception of Evans, lack Premier League experience but will become better in the 2nd half of the season - I think they are surprised at the physicality but look at how Mahrez beefed himself up to deal with it. Pereira, Ghezzal et al will do the same.
We have to accept the way football is being played is changing and you have to adapt. Surviving on c25% possession, running yourself ragged without the ball will get you so far, but the best teams will break that down and score. Medium to long term, developing a possession based game with a high press has to be the goal if the club is to progress and challenge the top 6.