Yes it wil work and be more healthy too. I have yoyo'd all my life including on Atkins. I was very successful n Atkins, losing over 60 pounds. Twice. But it is not sustainable.
This time around, I stuck to the low carb principles that I knew worked and made sense. I ate low carb: meat, veggies (loads of salad), healthy fats like olive oil and avocado, some lower carb fruits (no bananas). At the beginning I also ate sweet potatoes and oatmeal. I lost 103 pounds doing this. The key was that I had to reduce portion size and overall calories as I got smaller as I needed less. I am still eating this way now to maintain my weight. I also added in lots of exercise.
Just for your info, my current menu is something like this:
Breakfast- a bowl of fat free plain yoghurt with two different fruits mixed in (usually blueberries and mango) a tbsp of sunflower seeds, and 2 tablespoons of oats. In the past I also ate eggs for breakfast, or oatmeal.
Lunch - it is almost always a big bowl of salad with avocado, tomatoes, carrot onion etc. with homemade olive oil and balsamic vinegar dressing. Served with protein. Either two eggs, or smoked salmon, or whatever meat is left from the night before.
Dinner - always meat and veg. Whatever the family is having but without the grains.
I drink two coffees a day with milk and sugar (I swore off artificial sweeteners about 6 months ago), lots of herbal tea and also water.
Smetimes I snack in some fruit if hungry. Or a little protein. Sometimes after dinner I have a square or two of very very dark chocolate (90% usually).
Hope this helps.