Another long review
https://link.springer.com/article/10.1007/s13280-019-01159-0

Findings suggesting of lead poisoning
Signs include anaemia, lethargy, muscle wastage and loss of fat reserves, green diarrhoea staining the vent, wing droop, loss of balance and coordination and other neurological signs such as leg paralysis or convulsions.

re: what happens to the lead shot
"Gunshot generally sinks slowly through most types of soil and mud and may be available to feeding birds for many years, although a high proportion of gunshot ingested is that most recently deposited. Pain et al. (2015) review this in relation to soil types and management practices."
Pain, D. J., R. Cromie, and R.E. Green. 2015. "Poisoning of birds and other wildlife from ammunition-derived lead in the UK. In Proceedings of the Oxford Lead Symposium."

Chief's point is important - the concern regarding lead toxicity started with professional wildlife biologist and conservationists, and was only later hijacked by the greens with an agenda. I choose to believe the published peer reviewed research by wildlife biologist is legitimate, and accessible with a bit of looking.
It is certainly reasonable to argue regarding the conclusions and application of the research, but attacking the character of professional wildlife biologists (at least those not carrying the stink of the D.C. swamp) is inappropriate.

George Bird Grinnell expressed concern about ducks, geese and swans dying from lead poisoning in 1894

Aldo Leopold's papers included an article from 1915, and he published regarding the issue throughout his career
https://search.library.wisc.edu/digital/AV24ZV6CYHMAZF8B/pages/ASOSBQQZ7MDLJ484?as=text

Good opinion piece by a pro-hunting group
https://www.themeateater.com/hunt/f...ildlife-separating-science-from-advocacy