...there are as many ways to diet as there are people trying to lose weight and be healthy
. Every body responds differently. Some do better with low carb, some do better with moderate carbs, some focus on completely low fat (we used to have an extremely successful lady on here who met her goal and lost a huge amount of weight by not eating more than 10 grams of fat per day (search for Showmenow).
My suggestion would be to experiment with whatever seems like it might work for you or what you might want to try. If you want to try your homemade version of Atkins, go for it, although based on my admittedly limited knowledge of Atkins it seems like you would be eating pure protein, which is not only difficult but may have some health ramifications.
Whatever you choose, pay attention to how you feel
and how your weight loss is. It doesn't matter what you call it or if it is a "classic," published diet. You can try a bunch of different types of patterns until you figure out what works for you. When you get it, you'll know it. Listen to your body and it will give you the answers, but it may take some trial and error. Above all, don't rush the process, or you'll just get more confused