The purpose of a uniform particle size is to get the same level of extraction from all of the coffee. If there was a big difference in particle size, the small particles would be over-extracted by the time the big particles get well-extracted, or the big particles would get under-extracted by stopping when the small particles are properly extracted. And the brew ends up a mix of extraction levels rather than a targeted level.
The difference is because it takes time for water to soak into the interior of the particles and leach out the solubles. The farther the center of the particle is from the surface, the longer it takes.
A coarse grind is a different configuration of the same issue. Water needs to go through the bean material near the surface to get to the bean material at the center. So you have the same action as large and small particles, only within the same particle. Bean material near the surface will get over-extracted in the process of extracting from bean material in the center.
With a small particle size, the bean material in the center isn't far from the surface. So extraction should be very uniform within the particle as well as between particles. And with a small particle size, extraction time is much faster. That doesn't preclude any brewing methods, like French press; you would just brew for a shorter time.
If it is so important to start with a uniform grind size, why would a coarse grind ever be desirable?