I'll admit that fermented food was also a common factor among all traditional societies, and yes its a good source of K. Price simply theorized K was the import

I'll admit that fermented food was also a common factor among all traditional societies, and yes its a good source of K. Price simply theorized K was the important factor, didn't prove it. But it almost doesn't matter what the single factor was (if there is a single factor), if we just eat an ancestral diet then we should get the benefits. Also animal fat has other benefits that Price was not aware of at the time, like inducing ketosis etc, which is why I mentioned it specifically. Also perhaps the Japanese have long life spans in spite of eating lots of rice. Wheat grains seem to be harmful, whereas rice is a neutral carb, and Japanese get plenty of animal fats from pork in ramen, raw fish, etc.