True, you do lose appetite after a while. But in the early stages you can eat thosands of calories a day and still lose weight. In fact you will probably lose the fastest in the first few weeks.
I do acknowlege that Atkins is not a long term solution for most because most people just won’t stay on it. Carbs are just too tempting. But that doesn’t make Atkins wrong.
I’ve found the Paleo Diet works quite well. It’s also something you can stick with.