Exactly. If you say something that I find politically distasteful, I'm not going to associate you with the company that you work for.
I'm going to think you are an asshole.
If a CEO says something, they are getting paid stupid money, absolutely gobsmackingly stupid money, to be the face of the company. Many CEOs make in a year what I would consider to be "retirement for the rest of my good life" money.
I'm going to associate anything they do with the company that they represent.