Those who are vaccinated can suffer immuno insufficiency, and therefore all causes of death would go up. The vaccinated can be walking around feeling well but illnesses they had been fighting off are starting to get the upper hand.
This happened in Chernobyl - I read an international report that said, “All causes of death increased.” I had to read it twice to believe my eyes. The radioactive contaminates released in Chernobyl in such massive quantities meant that people’s immune systems were already working hard to repair ongoing damage to the body from radiation. So the body’s immune system, now repairing radiation damage in addition to normal immune response to diseases they would otherwise never succumbed to had to do ‘too much,’ and diseases of every kind increased.
Other reports on the matter stated that many, upon believing they had terrible futures and would have deformed children, merely gave up hope in life.
Michael Crichton referenced it in a talk he gave about misinformation. He had planned to write a book about a man made disaster.