When analyzing an optimization problem, the optimal values for the input variables are often found to lie somewhere between min and max.

It’s not clear that the person you replied to was advocating for one extreme, but even given that your strawman-esque assertion is probably true … I’d suggest analyzing a few other points in the domain beyond merely the two extremes that you contrasted.

Which range of the domain do you think we’d be most likely to find the optimal values for society? Do you believe that range might actually be inclusive of either limit? Are you sure you’d like to live in a world where the extreme limit of income inequality is manifest?