With the exception of other game animals that are shot, like wild turkey and duck, this risk is generally not present with beef, chicken, pork, lamb, and store-bought turkey since they are killed without guns.
Consider the following quote from a Consensus Statement of Scientists, which included dozens of world-renowned leaders in their respected fields, ranging from a Harvard neurology professor to numerous top doctors, which included pediatricians. (
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“Lead-based ammunition is likely the greatest, largely unregulated source of lead knowingly discharged into the environment in the United States. In contrast, other significant sources of lead in the environment, such as leaded gasoline, lead-based paint, and lead-based solder, are recognized as harmful and have been significantly reduced or eliminated over the past 50 years.”