Of the top 10 populated states, 5 were also among the top 10 “unequal” states: CA, TX, FL, NY, IL. Of the 10 least populated states, 4 were also among the 10 least “unequal” states: VT, AK, ME, HI. So instead of 4 overlapping states, we have a significantly higher 9 (5+4) states overlapping. Additionally, there are no crossover states (e.g., a highly “unequal” less-populated state, nor a less “unequal” highly-populated state). The easy math (9>4 with no crossovers) shows something, and it’s not structural inequality.
The only common variable between the selection of the top 10 (and in the selection of the bottom 10) populated states is just population size itself!
There is also a useful map at the link.