By prioritizing protein, I can eat 50-75 net carbs, but mainly from vegetables, fruit, and FF dairy, with lots of fiber. Whole grain crackers are only an occasional treat.
The Atkins 40 is basically Phase 2 of the New Atkins for a New You plan, which gives us the satiety from carbs a body craves. Going down to 20g total carbs may work for a while for metabolically challenged people, but I found it was not a healthy long term solution for me. Ten years later realized I should have stayed with the New Atkins plan where I started..

Atkins 40-60 is a good plan for someone who has knocked off a bunch of weight starting on 20g TC, and is 20-30 pounds from goal. Move up to net carbs to get more nutrients (without adding LC treats with sweeteners)