That is where many people have things wrong. While Walt was the face, it was Roy who actually ran the company. Today's corporate structures of company's are vastly different to how things were done in the 20s-60s.
Roy was the CEO of the company going back to 1929, but without the official title until 1968. So a financial guy was the head of the company.
Walt oversaw the creative side of things such as the Studios, but he wasn't the CEO or even Co-CEO of the company.
Flip to today, the company is different as its much larger, so a "Roy" is needed at the very top. So Iger is the overall CEO (A financial guy).
Each division has their own chairman ("Roy"), and Presidents ("Walt"). Now some will argue that some divisions don't have a "Walt", but I think that isn't true. There are "Walt's", like Lasseter before his recent issues.
Point is you need a "Roy" at the very top. And then each division needs a "Roy", and somewhere in those divisions are the "Walt" to help run those divisions.
Yep many people forget how many times TWDC was almost sold off. And it was Roy and his son, Roy E., that help save the company many times.