Every rich person that has ever eaten caviar is dead or will be dead. Therefore, caviar causes death. That's the level upon which this logic is based.
You don't have to be poor to acquire heart disease, diabetes, tobacco use, poor oral care, poor pre-natal and poor post-natal nutrition, excessive alcohol consumption. These can happen to rich AND poor. So INCOME INEQUALITY causes diabetes?? Causes one to consume alcohol?
There’s also a lot tied to the lack of self control.
The person who doesn’t eat to excess, drink to excess, never uses drugs, doesn’t have sex with anyone who is willing on a whim, doesn’t give in to temptations for dangerous dares - lives longer on average than the person who does all of these things.
And the person with poor impulse control will have trouble not getting fired from work, having illegitimate children, staying out of jail for assault, burning money on lottery tickets and frittering it on impulse buys.
So the correlation is poor impulse control / self control to both wealth and health.