There hardly much point in comparing, imo.
The club's worst manager was Ian Holloway; that led to years of building much-required solid foundations, particularly via Nigel Pearson, in order to give the club the opportujity to grow for the future (after such a torrid few years before Pearson arrived).
The club's best manager was, of course, Claudio Ranieri.
Even though he has a wishy-washy managerial history with big clubs before joining LCFC, he led our club to something that only very ambitious betting people would believe would happen - That season has ultimately led to world-wide praising from the sporting world and will inspire the current and future players to believe that, with hard work and integrity (alongside some luck), they can possibly achieve anything.
But we've now got Brendan Rodgers; who seems to have the club's interest/aims at heart - to develop the talented younger players at the club's disposal, alongside keeping the reliable and more-experienced players.
His interviews (at the training ground, and pre-match and post-match) illustrates that he knows what's needed at the club, and has got very relevant experience in driving teams forward as much as possible (see Celtic, with the quick attacking tactics) that with time he could apply greatly at LCFC.
After the disappointment of Puel's era, Rodgers is very much the individual who can stabilise things again (which very much seems now, already, with seemingly high-morale in the players in terms of their attitudes).
Am actually quite glad that Rodgers came in before last season ended; to allow him to thoroughly help him and his assistant (those that came with him to LCFC), to analyse how the players were performing under Puel and to help with recruitment aspects; plus it has made him to think how he can positively change player's thinking more, to both inspire the players to enjoy playing more and also to help the players to motivate/push each other more in order to try and increase the team's matchday performances overall.
Rodgers has had a decent start so far, despite some individual mistakes, but am very confident that this club can surprise many people again to achieve something - as the club seems to have the right ingredients again, like in the 2015/2016 season, in terms of the right manager being the perfect fit to get the best out of a squad that has strong potential.
Puel's strategy/tactics would serve well in a club that hovers around the relegation zone with little ambition, but not at a club like LCFC where (since the 2015/2016) the philosophy here is a need of greater ambitions and eventual achievement.