No, I guess it means that Europeans think that there is a minimum level of welfare that must be guaranteed to everyone, and that minimum level is way above what

No, I guess it means that Europeans think that there is a minimum level of welfare that must be guaranteed to everyone, and that minimum level is way above what is granted in the US. This doesn't mean that family members won't also contribute to that "safety net", just that there is a relatively high "acceptable minimum" and the state is expected to make sure that nobody falls below that.