"In the new study, Zink and his colleagues found that Ötzi had several gene variants associated with cardiovascular disease, including one on the ninth chromosome that is strongly tied to heart troubles, the researchers reported today (July 30) in the journal Global Heart."[2]
Fun fact: Otzi also had Lyme disease.
Also, there is no evidence that Otzi's people died young because of their diets. He was 45, so approaching middle age, and died while making a high mountain traverse with an arrow in his back. I would bet anything he was physically sturdier and, with modern medical care, healthier than nearly everyone posting here.
[1] http://www.sciencemag.org/news/2012/02/iceman-was-medical-me...
2] https://www.livescience.com/47114-otzi-had-heart-disease-gen...
Also, infant/child mortality was much higher at that time - if you count people that lived past the 30s life expectancy was likely not that different from nowadays.
https://arstechnica.com/science/2018/07/otzi-the-icemans-las...