No. Your definition of creative is way too narrow. The above is just one aspect. Successfully leading a company requires enormous creativity. It's not learned from a text book or color-by-numbers as someone who has never attended B-School might think. All the B-school case studies that students examine revolve around entrepreneurs and imaginative executives who thought of new approaches to business problems.
Executives that don't posses creativity are dismissively referred to as "suits," or "empty suits" because all they do is color by numbers and take orders -- nothing to them but their clothing. Basically they are worker bees, followers, drones, the opposite of leadership.
Maybe we are talking around the same thing and just not agreeing on the terminology. As far as I'm concerned there's a difference between problem solving and having a creative approach to business and coming up with a new product or colour scheme. I have recently retired as CEO for a charity, although I'm being headhunter by two organisations at the moment. I'd laugh if anyone called me a 'suit' - I've not worn a 'suit' in 20 years, and I certainly never went to 'B-school' or learnt my trade from books. Who would a CEO 'suit' be taking orders from? I guess the board, and I guess it does happen in some organisations, although I've not seen it in any significant organisation. If it did that would be their career over, once out where would they go?
By very definition a CEO is a leader, not a follower - if I hadn't taken the lead nothing would have happened. I had a board of Trustees but they didn't tel me whatnot do, I was answerable to them, I had to report to them, but they never dictated, they took my lead, they gave me freedom to do as I needed to take the organisation where it needed to go. I was successful and I'm wanted because I do things differently, I was able to save money from areas others hadn't been able, and I was able to develop the organisation into areas others had failed. That is creativity but I always had a marketing team, a web developer, and a designer as I could never get that stuff right. So no, I'm not creative, I have business creativity, they are two very different things.
Tim Cook has it, he's taken the organisation in different directions, new areas, the easy option would be to have done the same old thing. But I still don't think he needs to be able to design or develop a product, he has people who do that, he will be part of the process but he will know when to back off and leave them to do their job.
If leading a company/organisation successfully requires creativity then either I have it and didn't realise it, I got lucky, or it doesn't. My definition of the word is based on the comment I replied to. It implied Steve Jobss had it and Tim Cook doesn't. I assumed (possibly incorrectly) from the post that they were talking about ideas for products. I have never made a physical object in my life - not that I'd be proud of anyway - and I can't cook, draw, write poetry, choose a colour scheme and many other things. I can lead an organisation and develop strategy, policy, people, projects, ideas and make something from nothing in that context.
I just felt the original post was talking about coming up with new products - Steve Jobs was famous for having his name on many patents and wanted people to think many of the products were from his mind, if not his hands.
I also don't think the best way to learn how to lead an organisation is through books and lectures at university. I believe you learn through experience, you work your way through an organisation, if you've got it you will get where you want to go, if you haven't you won't. You can't churn out a mini army of future leaders through university, I've seen many graduates think they were the nations future leaders who struggled to tie their shoes. Leaders are not made over a few years, their skills are developed throughout a career in different departments, making mistakes, learning from others, experiencing a range of opportunities. I'm sure some great people can and do come out of a business degree (that's what we would call it in the UK), but the majority will find they are just perfect for a career in sales or middle management.
As I said we may be talking about different aspects of creativity, but as far as I'm concerned the creativity comment I responded to was about product development and ideas, not something I could do and not something I believe Tim Cook could do. In the same way I wouldn't want the fantastic product developers who create Apples products (I Dont believe Jonny Ive comes up with everything, he decides what a product looks like) to lead Apple, and I wouldn't put Ive up there either - developing products is different to leading a company.