Slight correction: nature doesn't care about the number of copies of a gene. All that matters is existence/survival.
I have to verify your other numbers sometime, because I am pretty sure I have heard of cases where mutations took hold faster (lactose tolerance perhaps?)
There are a lot of low-hanging fruits nature has missed because nature only cares about how many copies of genes there are, it doesn't care about human goals. Evolution is a poor optimizer for what it does, it has no optimization for what we want done.