If an animal gets shot with lead, survives and runs away, there is now a wounded animal or an animal carcass containing lead somewhere in the wild.
If it is wounded or freshly dead a carnivore will eat it and accumulate lead. That may be large carnivore or a smaller carnivore that later gets eaten by a bigger one. Birds tend to have stronger stomach acid that most mammals, allowing them to dissolve the lead better.
Vultures having it the worst as they will eat any carcass and have the strongest acid.