Character, interpersonal skills is a consideration in hiring decisions in the business world, increasing with position level. No reason why the same benefits, difficult to quantify would not also apply to a sports team. I'd rather have a Tulo at 4.2 WAR than a Yunel at 4.7 WAR.
I know a guy who has earned $400K in the past 10 years on termination pay from CFO jobs. He's very knowledgeable, articulate, has all the applicable certifications, tax law s*** and stuff, would be a great interview. But is an absolute dick. He'll probably earn another $400K in termination pay over the next 10 years, along with the $250K annual salary.