This is just an appeal to the way things were 70 years ago in the US. Much further back you had Native Americans absolutely eating tons of bison meat in the western US. Other tribes easily got fish for every meal. Others have been heavily vegetarian.
There is no “natural consumption of meat”.
Yes. As you point out the consumption of meat varies greatly across cultures.
Overconsumption of meat can lead to bodily issues as does a lack of particular plant foods. Particular meats are processed/digested in different ways, and have different pros and cons on what it does to your body and health.
So there very much is a "natural" way to consume meat that is most compatible with the capabilities and constraints of our body.
What is recommended/natural is an entirely different concept from what people actually do, which was entirely my point.