Leadership views or behavior can influence corporate culture in subtle ways. For example, by simply lending credence to the private views of others in the company, that the bigwigs agree with them. People tend to align themselves with the viewpoints of people in power, either subconsciously, or consciouslessly (when brown nosing).

You could say that the private views of Chick-Fil-A's owner do not impact how the company does business, but I think it would be naive to say that it doesn't have some effect, both on the employees, and on people external to the company.

Or to give a non-political example, if your CEO believes the best way to motivate people is to scream insults at them, tell them their work sucks, or otherwise keep them in a state of fear, then, even if it isn't official company policy to do so, that management 'culture' will percolate down to middle level managers, so that suddenly you have a whole hierarchy of aggressive, alpha-male scream-bags who think they're the next Steve Jobs or Bill Gates.