It’s not just the diseases you cited. Rates of cancer among the Amish are less than half of the general population and type II diabetes is unheard of.
It’s not just the vaccines, Amish don’t buy their food from drive through windows. Their food doesn’t come in boxes with labels full of words only a chemist can pronounce.
Big food and big pharma work together. One makes us sick and the other sells a lot of treatments, but very few cures.