There are far too many variables in the system for most people to navigate successfully for 40 years straight, even if they are earnestly trying. You could have an extemely well diversified portfolio and still lose money when The Market as a whole tanks as a result of bad decisions of other people. You could have money saved up in multiple savings accounts or bonds and be out of luck when a government you didn't vote for fucks up and causes a period of hyperinflation. I'm not even mentioning things utterly out of individual control like a war resulting from an invasion by an aggressive, more powerful neighbour.
Implementation details such as retirement age are very important, of course, but a from mile-high view, providing a decent if not extraordinary living standard to millions of people seems exactly like the type of infrastructure and public good projects governments are normally the best option for.
/jarek, who nevertheless has more private savings right now than "a quarter of those surveyed"