Comparing Manchester City Vs Liverpool and Manchester city Vs Arsenal isn't right because this two games are very different games. When Manchester city plays with Liverpool, this is a big game that demand big moments for any of the team to win because both teams play very well like their life depends on the match. Manchester city Vs Liverpool is a derby of some form because both teams have a rivalry between them but when Manchester city plays Arsenal, it'll like a big team playing an average team but until recently that Arsenal began to pick form and now playing very well in the premier league. Matches between Manchester city and Arsenal don't have draws and that isn't how a big game statistics should be because if they were two big teams playing they should have some draw games in recent meetings but there isn't.
Liverpool are more experienced than Arsenal in Premier League title competition against Manchester City. In direct matches against Manchester City, Liverpool are more experienced than Arsenal too. Liverpool are the biggest competitor against Manchester City in the last six seasons while Arsenal only gets that challenging in two latest seasons.
Arsenal are not weak and they are actually strong as shown in the last season and this season at both Premier League and Champions League. However to compare to Liverpool about experience, Arsenal actually have less experience. They are holding good but small advantage against Liverpool and Manchester City and they will lose it all if have a defeat at Manchester City's home stadium Etihad in an upcoming match.