I don't think this is 100% true. Some wild meat is too lean. The other name for "protein poisoning" is "rabbit starvation." Wiki makes 2 separately sourced refe

I don't think this is 100% true. Some wild meat is too lean. The other name for "protein poisoning" is "rabbit starvation." Wiki makes 2 separately sourced references that eating nothing is better than only eating rabbit meat (1) (1) - https://en.wikipedia.org/wiki/Protein_poisoning https://en.wikipedia.org/wiki/Protein_poisoning