This exactly. PG arguing the relevance of the Gini coefficient is oblivious to the the crumbling state of the public infrastructure in the US and the declining accessibility of high quality public goods to the working and middle class.
The Gini coefficient is an indicator, not an objective in and of itself.
Investment in public goods might even make the super rich even richer by making the corporations they own more effective through better trained workers and less loss due to poor infrastructure.