Why is it well said. Evolution is not random. Casinos use random processes, but there is nothing random about their profit margin. what would it take to convince you that random variation can result in order when subjected to an iterative process of selection?
Consider a topiary or a hedge. Is their design the result of a growth algorithm, or the result of pruning?
The topiary design is the result of pruning; but first there had to be a growing plant to prune.
To answer your question: "What would it take to convince you that random variation can result in order when subjected to an iterative process of selection?" I don't know, but I haven't seen it yet. Especially when it's not order, but increasing complexity that's at issue.