Nobody likes to date people who are always trashing their exes. Board members end up choosing the CEO, do they not? There are degrees of dirty laundry airing that could end up burning bridges with people you've never even met before.

Meanwhile the next CEO knows there's a rat, and can work out for themselves who that might be before their first 100 days are up, by which point most managers have been typecast. After that it's very hard to fully take advantage of major new insights you've had. It's an uphill battle to make major changes to your style of management.