I used a simple hypothetical example around one desired trait, but I hope you understand how hopeless it is to have an objective standard for "fit/unfit" when it changes according to the dynamics of the team.
A boss of mine many years ago gave me the advice, "To be successful as a leader, you have to remember that your primary task is managing personalities."
Generally managers chose whatever course of action makes their own lives easier; and will then convince themselves that that's also in the interest of the company. The research the article cites should make it harder for HR managers to do that in the future; but we'll see.
If nothing else, this research gives you a way to evaluate your HR people. If they aren't hiring a variety of personalities, or are predominantly hiring people with personality scores very similar to their own; toss them immediately.
I think "fit" is a cop-out when left unspecified. It's a reasonable way to reject someone when you can clarify why someone is unfit. I think rejecting a hire because you don't like them isn't okay unless you understand why you don't like them.
Understanding that someone would be bad because they're overly argumentative, can't take criticism in a calm or level-headed manner, or because they're prone to interpersonal conflict is a legitimate way to reach the conclusion that they would be a bad fit. But if you get the cabal together and accept a simple "I don't like them" without requiring details, it becomes ripe for abuse; if only by your own subconscious judgements.