The difference in job duration isn’t the point I was making. The President is merely the head of three equal branches that are supposed to keep each other in check, and has significant limits on his/her powers. A CEO has essentially limitless powers as long as they have the job.
As one obvious example, a CEO controls the company budget. A President can merely suggest a budget to Congress.
The US president presides over the executive branch of the US government.
It’s not a one to one equivalence, but commander-in-chief is pretty close to a chief executive office.