Well I don't know if you are unfamiliar with the term "THE STUDENT SURPASS THE MASTER" although I don't know if I quoted it right but am sure you get what am trying to say. Arteta has all full potential to be even more than guadiola and saying because he learnt from him just dropped that greatness in arteta so I had to clear out ??. Guadiola is a good coach and has done well for Manchester city but arteta is going to be better he just needs some time to seal things up and get in his groove.
I think your assumptions regarding Arteta are quite interesting. And if you look back, namely to last season, Arteta has indeed proven something to all of us which can indeed make us have an assessment that Arteta can indeed surpass Pep. Well, we know that last season Arsenal beat Man City several times in a match.
First, at the start of last season, in the Community Shield final match, Arsenal managed to beat Man City in a penalty shootout. Then Arsenal competed in the Premier League against Man City again and as a result Arsenal won with a narrow score of 1-0 at that time. And in the second half of last season Man City also failed to beat Arsenal and could only hold Arsenal to a draw. Even though in the end Man City won the title in the Premier League last season, last season there was something interesting if you looked at Arteta's team. namely, Arsenal is the only team that did not lose when facing Man City last season and Arsenal were even able to win in one of the meetings. This has proven the quality of Arteta.
Yes, Arteta has indeed shown some promising results in the past season. Beating Man City multiple times is certainly a great achievement considering their formidable lineup and high performance in the Premier League. Your point about Arsenal being the only team that did not lose to Man City last season further emphasizes Arteta's potential. It will be interesting to see how he continues to develop as a coach in the upcoming seasons. The speculation that he could surpass Pep is an intriguing one, and time will tell if it comes to fruition.