You can argue that those who survived infections, the elements, violence and starvation were in much better shape to survive everything else.
Also contrary to popular belief, cardiovascular disease happened before modern times, and even if we might be talking of Neolithic only, this happened even in hunter gatherer populations. Found these pretty interesting:
https://www.sciencedirect.com/science/article/pii/S014067361...
https://jamanetwork.com/journals/jamanetworkopen/fullarticle...
In modern times what we have is much less violence, vaccines, antibiotics, a healthcare system capable of healing injuries or restore you after heart attacks, etc and in spite of prevailing beliefs we’ve got proper nutrition and at least in the industrialized countries we aren’t dying of starvation or nutritional deficiencies anymore.
Our problem is “energy poisoning”. Once we figure out how to not eat so damn much, we’ll eliminate most chronic disease we have today.
Finally, infant mortality was extremely high and remained very high until modern medicine. These infant deaths decreased the average life expectancy but it masks the lifespan that healthy adults would typically experience.