I think a system where one persons gets literally all the wealth would also be difficult to enforce or sustain. However, without getting bogged down in the det

I think a system where one persons gets literally all the wealth would also be difficult to enforce or sustain. However, without getting bogged down in the details of the implementation, I think GINI-1 would result in a society where no one has incentive to work because one person gets all of the benefit of that work. Whereas with GINI-0 everyone benefits from their work, and anyone who produces more value than most others is still incentivized to work because they will still see a marginal gain in wealth, albeit reduced from what they would normally earn in a higher inequality system since it is somehow redistributed equally to everyone. Perhaps the goal is not GINI-0 but as close as possible to it.