I think there are economies in the administration of health services that are funded out of taxation rather than insurance systems. Certainly, it's a benefit that the coverage is universal. But I think it's important to recognize that there are not strong relationships between almost any measure of health care—whether it's hospital beds, doctors per head, or expenditure per head—and accrued outcomes like death rates.
Health services are important, but much more important is whether you get a life-threatening disease to start with. It is a matter of the social and economic conditions in the society that the influence of those sorts of factors vastly outweigh the importance of medical care in determining things like life expectancy.