A CEO's job is to champion the interests of their company. If they're mired in controversy, legitimate or otherwise, their ability to do that job is compromised

A CEO's job is to champion the interests of their company. If they're mired in controversy, legitimate or otherwise, their ability to do that job is compromised. Sometimes, it's the right move for the company to stand by an unpopular CEO. Other times, it's better to walk away. Customers and investors are fickle, and often irrational. Supporting a CEO that is driving both away because "presumption of innocence" might be the worst possible move you could make, depending on the situation. In fact, I'd argue that a hallmark characteristic of a good CEO is someone who can say, "My continued presence is hurting the company. I need to step down, so everyone else can succeed" if that's what's needed. Yes, even if the controversy is completely made-up bullshit. In the long run, the company and the (former) CEO will both be better off if they can look back at a gracefully handled departure, where everything turned out to be so much noise, than some Pyrrhic victory, where you've alienated customers, investors have walked, but, by god! you stood by your CEO!