> we have to decide on one of two mutually exclusive goals
> Your link discusses the Scandinavian countries. Those have a GINI (income score) about half that of the US. Of course they have broad-based taxes.
I want to address everything you just said, but these two points stand out.
The GINI coefficient is not a particularly useful metric precisely because the US could halve its GINI simply by increasing the income of its poorest people. It tells us nothing about the degree to which a country goes to make its rich poorer.
Which brings me to your second point; Scandinavian countries have the GINI scores that they do precisely because they have welfare that can only be feasibly funded by broad-based taxes (even Bernie Sanders admits this https://www.cnn.com/videos/politics/2019/06/28/sanders-middl...). And the only way you get a society to adopt broad based taxes is if you decide the variable you want to optimize is making the poor richer, rather than the rich poorer.
In America, especially among the center-left, there's a strong aversion to adopting taxes on the middle class — it's the only way one can fund the kinds of programs that reduce GINI — precisely because the rhetoric is less around making sure the poor are taken care of, but rather around making sure "the rich pay their fair share".
So that's the reason why it's presented as mutually exclusive goals. Once society agrees upon an OKR, it will converge around any solution that satisfies that OKR. As long as our OKRs are defined around how rich the rich are, rather than how poor the poor are, the solutions we converge around will look less like the GINI-reducing Scandinavian countries (which have high middle class taxes and VATs), and more like the US, which happens to have the most progressive taxation in the developed world[1][2].
[1] https://www.washingtonpost.com/news/wonk/wp/2013/04/05/ameri...
[2] https://faculty.washington.edu/vmenaldo/Inequality%20Researc...