While domestic animals certainly aren't free of disease nor is their processing, there is some control. As someone who has hunted and fished since preteen, I am very careful where my wild game is harvested and avoid anything I feel might be tainted.
Interesting: Food banks will accept venison, which could well spread wasting disease and TB, that is culled on public lands but not privately butchered animals.
I clear out all my excess eggs every Tuesday--103 doz in the last 10 weeks since my girls started laying--by taking them to our local food bank. They are happy to get them and collect egg boxes for me to bring more. I just warn them that the eggs aren't graded for size nor candled (so...