Again, you're using that as a bogeyman. I've pointed out that there are a variety of factors that can and do affect overall life expectancy. It could be a cultural/genetic thing, the kind of food people are commonly raised with, lifestyle differences, wars, diseases, and so on. The key thing is that wealth builds better health and that is true without a doubt. With greater GDP per capita comes with better health resources and living standards, people tend to live a lot more longer than, say, 3rd world nations. 100 years ago our life expectancy for male was at 50 years old. We're now at 78 years old while Japan's is at 82, not terribly a wide gap compared to Angola which is at 38 years old. Look at Qatar's life expectancy which is 75 years old for male but their GDP ($103,000) is more than twice than the United States ($48,000).
By your conventional expectation Qatar's "health" should be much better than the United States. Heck, should be better than Japan's!List of countries by life expectancy - Wikipedia, the free encyclopedia
A very simplistic view of yours that's flawed.
As for preventative care it can be cheaper for the person paying for it but for insurance companies, not necessarily so and depending on what care we're talking about. Preventive health care may save lives but it does not necessarily save money (ergo - cheaper).
When Preventive Care Costs More - NYTimes.com