Well, I don't have any solid data to back this up, but heart disease, cancer, and diabetes are overwhelmingly associated with obesity. France has relatively low rates of obesity, possibly due to the cultural way of eating small amount of rich foods. I have also heard of many Eskimo tribes that have low rates of these diseases but eat almost exclusively fish and fish fat or whale blubber. That may be a similar situation. Or it could be genetics. Who knows!!
Higher animal product intake would be associated with higher income levels, more processed foods, sedentary lifestyles, and therefore obesity, so I am not at all surprised that it would be associated with high rates of disease. Did he isolate these factors out at all?