I once went to a new year's party hosted by an Atkin's couple. On a table in their dining room, they had piles of different kinds of meats with not a vegetable in sight. Salami, roast beef slices, boiled ham, smoked ham, peppered ham, leg of lamb chunks, chicharones instead of potato chips, bacon slices, head cheese, lamb testicles cut in half and mounded in a pile, veal , pork and lamb tongue and other things very hard to identify.. I craved a piece of decorative parsley, a batch of mustard greens, some lima beans, a bed of quinoa for the masses of meat. Maybe some peppers or quince paste or mint jelly or steak sauce or or or. None to be found. I was in some kind of re-education nightmare.. My arteries ached.
LCHF can be a universe of things but Atkins can be kind of monocromatic
The modern Atkins diet is not the diet of Robert Atkins, who lived only to the grand not so old age of 72 and resembles a modified LCHF
https://en.wikipedia.org/wiki/Robert_Atkins_(nutritionist)