I know I am reviving a VERY old thread, but I came across it in a google search, so I figured I'd chime in.
I did Atkins, and I actually missed so many things. I do the hedonist PP plan, and feel fabulous. I love having my eggs with a few sliced strawberries and a piece of low-carb light wheat bread. I feel like I can eat pretty normally on this WOE. When I find that I stall, I cut back on the grains and dairy (e.g. lose the low carb toast for a while) and then I start losing again.
I think everyone needs to find their own carb tolerance, though. On Atkins, my keto strips were DARK purple and I lost quickly, but felt icky. I feel better and have more mental clarity eating a few more carbs. However, I know others who had to stick to the induction phase of Atkins to lose anything. Everyone's body responds differently.