Dad pulled a similar stunt when we were kids - they shot a bunch of ducks and cooked a couple one night - come to find out they had been at the nearby sewage treatment outflow into Lake Ontario....I dont think he hunted much after that
I guarantee I NEVER shot another goose again and gave up duck the year after. I did shoot a bear about two miles or more from the area dump, and I got a whiff of the thing while dressing and didn’t chance eating it. Gave it to a buddy who ate the meat and said it was “Interesting.” I translated that as ‘I don’t know if I don’t like bear meat or I didn’t know how to cook it’.