The Managing in sentence one, coupled with Management in the next sentence makes this a bit confusing, but I will respond, based on the possibly erroneous assumption that I grasped the intended meaning: that the first 'managing' refers to the manager in the dug-out and the second Management to the higher ups -- largely Klentak and his analytics guys, but also perhaps the assistant GM and MacPhail.
I agree that the role of manager is changing and is more and more a responsibility to blend diverse personalities and abilities into an effective team which can go out and determinedly compete almost every game. Analytics does play more of a role and the manager is expected to give credence to what the analytical department says will work. I don't think this is a bad thing. I do think the Phillies analytics guys and higher ups have been able to push this too far, too fast, with insufficient experience, and I strongly suspect insufficient statistical verification that implementation of their suggestions/recommendations/outright orders -- call them what you will, actually are helping today (I strongly believe they definitely will help in future, skeptical in the here and now in Philly) An inexperienced manager and pitching coach enabled this too strong/too fast approach. That's a big reason I wanted an experienced manager and why I also want a pitching coach with a track record of being able to refine deliveries, teach a new pitch, and establish a rapport and trust with his pitchers.
I'm not going to denigrate the impact of a manager's strategic and tactical decisions if they can, as you suggest, add one or two wins a season. For many teams that has been the difference between playoffs and no playoffs. I hoped this year that the Phillies would be good enough to make the playoffs. That is also my hope for next season. If Klentak can build a more talented, healthier, better balanced 26-man roster and list of ready reserves in Allentown than we had in 2019 -- one which is capable of winning 88 -89 games under Kapler, then I will be thrilled if better in-game tactics and season-long strategic use of, particularly, pitchers adds another win or two and that gets us into the playoffs.
There is a danger with a baseball-side management and professional team which has near rookies is too many key positions, even if they are true believers in the newest baseball thinking, and sort-of, kind-of, have second-hand experience from talking to others in their prior organizations of the ins-and-outs and intricate workings of the proper ways to introduce the new thinking into an organization and its MLB team by somebody in the key position they have just been promoted to..