I saw a bunch of pie charts and asked Claude to make a histogram:

The distribution of miners looks like a power law, which is not surprising for natural processes and network effects (though there really aren't many individual known pools, so it's difficult to draw strong conclusions with a fit of 0.65). That extra condition for individuals not trying to go in a pool near in 50% is an interesting constraint from a game theory pov though - acting as a sort of homeostatic effect, curious how much that incentive actually effects the dynamics.