While I agree the players make a huge difference and managers are hired to be fired, I do think some managers, including Sox managers, are better than other managers.
JH has the final say in hiring and firing managers, but he's always had a pretty good brain trust to help him in hiring/firing a total of 6 managers:
Grady Little (a subpar manager fired after the 2003 season almost certainly for leaving Pedro in too long in the ALCS; the Dodgers also fired him after 2 seasons);
Terry Francona (excellent manager fired after 8 good seasons, 2004-11, including 2 WS wins, but had to go after the 2011 September collapse plus players drinking beer during games);
Bobby Valentine (one season mistake in 2012);
John Farrell (5 seasons, 2013-17, 1 WS in 2013, let go after 2 good teams, 2016 and 2017, stunk in the postseason);
Alex Cora (5 seasons, suspended in 2020 but hired back immediately afterward, 1 WS and best Sox season ever, 1 ALCS season in 2021 without Sale, Price, Mookie, Kimbrel, Beni, etc, 2 bad seasons, 2022 and 2023, but with the lowest salary rankings in the John Henry era).
From the above I conclude Terry Francona and Alex Cora are easily the two best of six managers if we include Ron Roenicke in the 2020 season. But, while I prefer Cora, I think Francona's record is far better because he's been excellent in Boston and Cleveland.
However, of the six managers, only Cora has been asked to do "more with less," which has been going on since the 2019 season.