Actually it seems like Cora does prioritize player morale, or at least he acted that way in all the stories surrounding his (un)involvement with Devers. And very likely why Story is still at shortstop,
The Rivera thing is a non-issue. Every team does things like that because they demote the player with options. Rivera had an exciting debut, and he will be back. But no team is DFAing an MLB pitcher in April to hold on to a rookie who had one good appearance. That can backfire quickly, badly and frequently. And it rarely leads to public issues, with Tommy La Stella remaining the lone exception (and that was much later in the year involving a non-pitcher).
The Sox hitting approach looks like they want to avoid flyballs, which are the high risk/high reward outcome from a batter. Nearly every hitter has a good line drive rate, with the line drive being the safest type of batted ball. But the issue is failing to hit a line drive usually results in a groundball or pop up, and nearly every Sox hitter is high in both of those as well. The lone exception actually hitting flyballs is Mayer. And he doesn’t play everyday.
Not every hitter has or wants or is comfortable with a line drive swing. No idea which Sox hitters are or aren’t but it looks like their teams use approach to hitting is “hit as many line drives as possible and hope it works out.” And I doubt every hitter on this team is comfortable with that approach.
Bregman stories are all around about his influence as a batting coach. No idea how much truth in them; it’s never been brought up in Chicago, where the Cubs offense is clicking on all cylinders anyway.