Good universities teach you how to learn. It's a skill that isn't necessarily obvious, and isn't inherent to people that can become utterly awesome at other things if they know how to learn how to improve.
Anyway, your overall premise is clearly and demonstrably flawed. Great sports coaches are seldom as good as the people they coach, but they still help them get better.
I don't need to be able to intuitively apply knowledge and experience to know that piece of knowledge and experience in applying it are important, and I can share that wisdom with someone capable of intuitively grasping the concepts and applying them.
I like to think I'm pretty good at what I do. I do continually train myself and learn new things - and one key way of doing that is to listen to people that I can learn from. They already have the answers, and one thing I have learned is not to waste my time on solved problems.