I'm not talking about observational studies either, but actual controlled feeding trials where they put you on a strictly controlled diet for a period of time.
Even if you look at what humans are evolved to eat -- evolution puts selective pressure on reproductive fitness. As a process, it does not put any pressure on you to live a long time, as long as you reproduce successfully (which is why insects like the mayfly can even exist). So looking at what primitive people ate does not really give us information about what is healthy if you want to live a long time (aside from avoiding things that are obviously immediately poisonous).
Even hunter gatherer tribes that eat a meat-and-dairy-heavy diet like the Maasai have been examined and have pretty significant cardiovascular disease -- but they are also so ridiculously active their blood vessels are much wider than people with a modern sedentary lifestyle, and that mostly balances out the narrowing from arterial plaque. Native people who eat a traditional diet heavy in whole grains, legumes, and tubers for calories have them beat by a mile when it comes to arterial health.