The problem with a "bare minimum to live" is that:
- what constitutes the "bare minimum" is constantly changing due to inflation, regional differences and so on;
- Not everyone who hasn't paid much into the system was necessarily lazy or undeserving. Circumstances such as family pressures or long-term illnesses may have kept them out of work, through no fault of their own;
- Some people stuck on that bare minimum might not even have a family to provide for them and make up the difference, and, because they were on that bare minimum, will likely not be able to do much about it themselves.
While, yes, benefits should track contributions at some level, the minimum payout oughtn't be set so that it's a struggle to live. Not to "exist", but to live. The problem is in part due to the fact that life expectancy has increased dramatically. Previously a small pension would be covering only a few years of life beyond retirement, but now the same annual pension has to sustain 15 or even 20+ years. Such a length of time, equivalent to almost my entire life so far, spent on merely the bare essentials of life with nothing to spare for luxuries or entertainment would be intolerable.
Better for pensions to track contributions, but the minimum level be set at a point so that people can do more than just life, but live in some level of comfort -- regardless of whether the pensioner has family or some personal wealth to make up the difference.