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.
First of all, there is no point in comparing Monero's distribution method or that of any coin for that matter with your proprietary secret sauce. As far as I am concerned, your proprietary secret sauce has zero value until people can use it. That means you will have to reveal it and run the risk that
someone will copy it and not pay you for your intellectual property, As far as what is already there in the market when it comes to fairness Monero's POW is among the best.