Liverpool did well to secure a point at home against Manchester city. Even with the absence of Salah, they did very good and I think Arsenal and Chelsea soccer teams would want to capitalize on this result to climb on the table. For Arsenal, a 3point result will put them on top the league table and am sure it would be a competition for Manchester city to comeback on top.
J. Klopp really went into today's game by first not underestimating his opponent with a defensive formation that cared little about possession of the ball but relied on a swift counter attack and set pieces instead. I would happen to have made same predictions of win or draw for this match and I would not be surprised if it turned green after such fantastic first results.
Did you actually watch the match between Man City vs Liverpool? In this game, Salah played the entire match and Man City was the host, not Liverpool as you mentioned. I think Liverpool will never underestimate any enemy they face, especially in this match they were against Man City. If Klopp prefers to play defensive football, I think that's normal because they are playing as a guest.