Government isn't a static thing - especially one that is elected by the people (for the people). Sooner or later members within said government will also consider retirement. So even if you can elect a government that disagrees with #1, you won't be able to hold it for too long.
If that assumption is correct, this is a relatively new idea, at least in the sense that government has any active responsibility for it.
I can absolutely guarantee you that there are currently elected members of the US Republican Party, and similar political parties in other countries, who do not agree with the concept that government has any role to play in this. Don't work hard enough during your life? Your problem. Don't save/invest appropriately ? Your problem.
100 or 150 years ago, the idea that there would ever be a US government that would take notable steps to try to ensure a moderately comfortable life during retirement would have seemed like a pipe dream. It remains something upon that some political ideologies do not agree with.
You missed one: "inherit"