Gini does not give a full picture, it is just one measure.
Here is a German podcast on the high quality "Deutschlandfunk".
Headline: "Only the top four percent make it to the top in Germany."
> Despite political upheavals over the past 150 years, Germany's elites have remained the same. Sociologist Michael Hartmann criticizes the fact that only four percent of the population shapes the country. He calls for a quota of working-class children on executive boards.
Same with Germany's schools, my country has one of the worst records when it comes to mixing it up. Those who come from well-educated parents will become well-educated. Society is quite static.
Next, Germany puts the majority of the financial burden of financing the country on incomes from work. Income from capital, or much worse, inheritances, are not even considered, whenever the government needs to plug holes it's going to come from working income.
Also, the number of bad jobs, especially those where even many engineers don't work for the actual employer, but for companies that lend them out, has only risen decade by decade to absurd heights. Employers may claim that is to work around the strict labor laws, that they cannot just fire somebody they don't want, but that is an incomplete statement at best. The entire economy has gone away from stable long-term, even life jobs, to ever more insecure employment. That is part of why our birth-rate has just dropped to new record lows too, there is just too little security and too much uncertainty in one's live these days.
We are also terrible at providing housing, which also depresses the labor market because moving has become risky and costly, there just is no housing no matter where you go, and if you find something it's likely to be much more expensive than what you had.