I play more than my share of the game Out Of The Park, and it interests me that several years ago they added a Personality feature to their game. Most players are labeled as Normal, but a few are Captain, Prankster, Humble, Sparkplug, and of course a few negative ones are labeled Disruptive, Selfish, etc. Underlying this are user-visible traits including Intelligence, Work Ethic, Leader, and a few others. Reputedly, there are additional traits for these players, under the hood, that the human player can not see - this manifests most notably when a player turns out to be Outspoken and seeking controversy, despite none of the normal/visible traits showing red flags.
It's just a game. But I find it intriguing, because reputedly the game designers have gained insights from insiders who work as consultants to them. This tells me that front offices do more than simply label players "clubhouse cancers" but try to dig a little deeper. Not all analytics involves numbers to three decimal places, and good analytics can be simply to break down something into smaller components to understand them better, even if on a simple "red/green" scale. In the game, if you can't form a team of boy scouts for players, the other approach is to hire a manager and staff who are Temperamental or Controlling, rather than Easygoing or Personable (yes, the game has personalities for managers too).
Rocco Baldelli (yes, the game has him as Personable, getting along best with Easygoing co-workers) in real life allowed himself to be quoted long ago for OOTP's marketing purposes as saying their game is "more real than not." Even if major league teams don't use exactly the database that OOTP offers the game player, where the unknowable is just a little too certainly known, I have a feeling most of them try to address the question of personality in a systematic way.
Games like OOTP aside, I think Rocco might indeed be the wrong manager if a front office thinks truly disruptive players are a market inefficiency to exploit. But they could experiment at the margins on this.