No doubt is the two wins against PL opposition in the four domestic cups with RDZ in charge a step up from the quite dire cup results under Potter.Probably more disappointed that Potter never took the cups seriously at all, a quick exit from the FA Cup is all I can imagine, after he rings the changes, RDZ definitely shifted perspective on that.
But no need to doubt Potters dedication when it comes to the FA Cup, despite getting knocked out by Wednesday (yeah that was horrible), United and Spurs. He loves that cup.
His results as a cup manager are probably one of the reasons Bloom actually hired him the first time around. Winning the cup with Östersund, taking them to Europe knocking out several big European teams and winning away at the Emirates in the same cup. Reaching the quarter final in the FA Cup in his season with Swansea, going out with 2-3 after conceding a incorrect penalty and an offside goal.
But yeah, cup results could have been better under Potter, absolutely. I think if you ask him about it he'd say not doing better in the cups was his biggest regret/disappoinment. The results definitely weren't great under RDZ either though, with the win against Liverpool really being the only noteworthy one.
Overall, no matter who we appoint, there's definitely room for improvement when it comes to the cups.