Unique companies are unique because they are different compared to most. From the way the processes are structured, to how they innovate, to how they are led - this is all a function of a company's uniqueness, compared to other companies.
Uniqueness exists despite forces that try to make it non-unique. When a company scales, the traditional modality is to hire MBAs and professionals who possess standardized experiences and skills ("old hands"). When a student goes to school, teachers are present to teach kids a prescribed curriculum and set structure.
The unique companies fight these forces that make it non-unique. They first surround themselves with unique people. This creates a hiring loop for unique individuals to continue to want to join the company and an environment where unique-ness can thrive.
Second, unique companies also put themselves in unique situations. This creates a scenario where the company is forced to think differently about its market, how to address it, and how to survive despite being different.
The decisions to hire and situate uniquely can only come from the founder. Without that, no one else can force a company to hire unique people. Without that, no one else can situate a company to address a unique market. The board and the rest of the team can make suggestions, but they are not decision-makers.
Thus, a company is a unique representation of the unique founder. And that company should uniquely reflect the skills, experiences, and the vision of what the founder can contribute to the world.
Unique founders should develop a process and feedback loop to continue to peel away at what makes them unique in the world. Chipping away slowly, day by day, is the only way to get to that uniqueness. Chipping away biases and comparing their world views to others living or dead are two ways to get there.