So far studies of foragers like the Tsimane, Arctic Inuit, and Hadza have found that these peoples traditionally didn't develop high blood pressure, atherosclerosis, or cardiovascular disease.
What's the obesity rate in those populations vis-a-vis the Western World?
Anecdote time: My family has a history of heart disease and diabetes, largely self-inflicted via eating ourselves to death. My blood markers (fasting glucose and cholesterol) follow my weight, up and down. Weight loss brought them into the normal range; dietary changes made no discernible impact whatsoever. I eat all the things that are supposedly bad for you, refined carbs, alcohol, greasy foods, and so on. The difference between me and the rest of the family is I exercise self-control and keep my net calories to a reasonable level. Reasonable ranges from 2,000 on days of doing nothing to >5,000 on days with mega hikes or long runs.
People need to stop buying into fad diets and nonsense theories. Barring allergies, most humans are fully capable of assimilating anything they throw at their GI system. Exercise some bloody portion control and get off the couch once in awhile. The rest will take care of itself.