I agree that the CEO is not the company and should not use the company as an amplifier of their own personal beliefs or views.

That being said, I don't buy that you (or anyone, I am not pointing fingers) _don't care one wink_. Maybe you don't care on this very topic because you disagree or simply have no interest in politics. But I'm willing to bet that on another topic closer to your heart (pick your favourite), that could reflect on your views and relationship with the company.

And actually, because the voice of a CEO is globally impactful on the brand of the company, CEOs tend to be publicly rather quiet. Exceptions apply.