Reasonable people can disagree on whether or not Pitino knew or had any involvement. But for hypothetical argument's sake, let's side with him and go with he knew nothing and had nothing to do with any of recruiting scandals, and apply the analogy to an executive in the corporate world:
Corporate scandal 1: The CEO of a company bends a well-endowed cougar over a table at a restaurant. The cougar extorts the executive and it goes very public. While it's immoral to bend married cougars over a table while you are also married, it is a private affair. Still, the Board is embarrassed on the company's behalf so removal is discussed but never goes anywhere due to the company's success under this CEO.
Corporate scandal 2: HR staff hired directly by this CEO brings hookers in for the talent (and their family) in town for interviews. This gets in the papers. The CEO has nothing to do with it. The Board is enraged and even embarrassed by how ugly the hookers are, it but stays with the CEO anyway.
Corporate scandal 3: HR staff hired directly by this CEO uses fraud to entice potential talent to work for the CEO. The CEO has nothing to do with it but the Board has had enough and FARRRs that dam sonofabeyitch and cleans house, FARRRR'n many sonsofbeyitches.
The hypothetical isn't perfect, but it makes the point. People get fired for a lot less, and it's hard to argue the CEO was fired without cause.