Death rates are hardly an indictment on a medical system. They are an indictment of culture. Americans simply eat more cheeseburgers and gorge on excess junk.
It's actually a combination of both.
My family misses Tennessee dearly. Groceries here in Mississippi are significantly more expensive, especially produce. It ends up cheaper to drive to Slidell in Louisiana and stock up at the Kroger there than to load up on fruits and veggies at stores in the Hattiesburg area.
The economic boom hasn't hit everywhere either. You could blindfold yourself and throw a rock in any direction here and hit a Dollar General or Family Dollar, neither of which carry much in the way of healthy eating. Yet, for many here, that's the primary grocery location because of affordability.
Working more hours to pay for what used to be employee benefits (insurance, pension) also leaves many workers with little time to cook. There's a marked correlation between health outcomes and cooking at home. Expensive ingredients plus no time to cook and eat at home combine for a negative statistical effect for mid and low income Americans.
Then there's the medical side of things. In Knoxville, my outcome for septicemia was positive because of the team of doctors working my case. Sure I lost a leg, but there were five infectious Disease specialists at UT working on solving the bug that almost killed me.
Hattiesburg has a regional medical center. Big hospital. They just hired a second infectious diseases doctor. He's the second in the entire city, across two major hospitals. My last infection a couple months ago had to be sent out of state to diagnose because of lack of equipment and manpower to study it in a timely manner. I was close to losing my left leg. I am now looking for jobs at universities near major medical centers and praying one comes open so that I don't have to worry about smaller outfits putting my life at risk.
Then there's prenatal care. Here's where the lie of pro-life gets me. We have some of the worst infant mortality rates in the developed world in part because prenatal care is exorbitantly expensive and we punish pregnant women when they do go to the doctor by not paying them (unless they're salaried). I'm not on the single payer bandwagon, but if we're serious about being pro-life then we wouldn't be making getting quality care during pregnancy an expensive and financially punitive event.