If we go back, say 2 generations, to when my grandparents were growing up. They had tough times. Hunting "for the pot" was necessary just to survive. They ate game/rabbits/pigeons probably 5 times a week, and continued to do so right up till they died late in their eightys. Even the venison was shot with the shotgun back then. No cancers, strokes, leukaemia, just old age.There is a very strong correlation between those nasty agressive cancers such as acute myeloid leukaemia and small cell lung cancer and raised levels of lead in the blood.
Lead in food, especially lead shot game can be a major source of lead in the body. There are a number studies showing elevated levels lead in the blood amongst those who eat a lot of lead shot meat. Mostly these studies are on native Americans.
Micro plastics are also a worry and need to be tackled - but that is a separate and completely different argument.
Your average joe nowadays probably eats game maybe 3 -4 times a year, so does anyone have any numbers of deaths by cancer/leukaemia from 1940s - 1980s when people ate a lot more game?
Personal, I'd be alot more concerned about other chemicals, substances that go into mass production of food stuffs. Then theres water quality, air quality, micro plastics etc, the list goes on.
Give me a lead shot pheasant any day. You don't even eat the lead, you spit it out!