This is the comparison in just league games. Pretty close between the first three (ETH = Klopp had he won 3 more games which we threw away) & fair to say, ETH has done much better than Arteta and Klopp in cups during his first two seasons.
ETH Arteta Klopp Guardiola League Games 76 100 100 100 Wins 41 63 54 73 Draws 12 16 28 15 Losses 23 31 18 12 PPG 1.78 1.86 1.90 2.34
Has he really done so much better than them in the cups? Arteta also won FA Cup and took them to an EL final while Klopp got to two European finals including one CL final. You need to include European performance if you are going to assess performance outside of league.