The problem with Cooke - while the interview is decent - is simple: the guy has a very untradtional thought process of what a CEO of forbes 500 company has to do.
For everyone interested in a more empiric definition:
http://www.steverrobbins.com/articles/ceojob/
1. keep your political stuff to yourself, it isn't part of the job, period.
2. Outline a general example of what the company will be in X years
3. You need a hierarchy and given that he is basically the man in the company now, Yves, Schiller and all the other big dogs should have to report to him, sure with some leeway but there is no way Yves should be able to just do his thing. People are forgetting that Jony could do what he wanted under Jobs but at the end of the day Jobs was the one calling the shots. I remember in his biography him basically having "intense" meetings with Mr. Yves.
4. Allocation of ressources: and here I think Apple might have the same - yet extremely nice to have - problem of having too much cash! When a company has so much money you can invest in a lot of stuff but there still needs to be one clear focus and it can't just be the cash-cow, every company does need some "stars" once in a while in order to have something to replace the afore mentioned cash cows of the presence. That's a point where I think Apple is falling behind under Tim Cook, he doesn't seem to know enough about potential new stars in the company. I know I'm in the minority but I highly doubt smartwatches (excuse me Applewatch), fitnessbands and VR stuff will reach the point of smartphone success in the next 5 years.
5. Stand behind the products that's something nobody did better than Jobs (including Bill Gates). Jobs would throw millions and millions of $ into a recycle bin if he didn't like the design, hardware of something. Tim coming out and saying that the IPP will replace the PC, while having the MBP and MP line is some sort of underselling your own products.
Anyhow that's just my opinion so I'm sure a lot of people will lable it as hatred but so be it.