One thing we seem to have discovered is that absolute randomness is harder than it might first seem.

Your idea combines what feels like a significant percentage of randomness while still having enough participation to rationalize buy-in.

It's tough to want to yield control of an important choice to a random number generator... though that's not an inaccurate description for this.

I like this as a perspective on "the illusion of choice". Part of me hates the phrase because I want to believe that I can take meaningful action.