Yes the Butterfly Effect impacts everything. But if anything you are supporting the position that it doesn't matter which method of distribution is employed. So why are you arguing against Monero's "only proof-of-work is fair" doctrine?

My point is that the distribution can have some mathematically provable bounds on insider ownership (my plan), so some people may judge this is more or equivalently trustless (i.e. worthy) as a proof-of-work launch. Others may have a different opinion.

And my point is Monero can't use that dogma to claim they are provably more fairly distributed.