I'm sure there are many varying opinions on this, and a lot of good diet write up s on this site. My own opinion, Atkins is great, for dropping fat\weight. Lost over 100lbs myself in just under a year a while back while following the plan by the book. The problem was, when I got back into the gym, my energy levels were nill. Been bulking for the past 6 months, and have just recently began cutting back for summer.
As I'm VERY familiar with Atkins, and comfortable with it, I decided to go with a strict Keto, CKD version, this time around. It's working out GREAT so far. No strength loss, and the fat is already beginning to vanish.
As a brief example, I'm currently eating at maintenance cals, which for me, at 205lbs, 14%BF is around 3000. I'm keeping it right there, but dropping carbs 6 days per week to 30 or under. Saturday's is my carb up. Just this past weekend, I managed around 800 carbs, at around 4000 cals. the rest being protein and a little fat. Feeling great again this week, and frankly, dropped another pound AFTER the carb up on Saturday, LOL.
The other huge benefit for me, with the warm weather here now and grilling season, is being able to eat LOTS of fattyier beef, pork etc., along with whole eggs, milk and whatever during the week, yet still enjoy breads, pasta and oats on the weekend. In the end, I'm shooting for dropping to no less than 190lb and hopefully be back around 9%.