I don't know much about it but I do have heard of calorie zig-zagging. But I'm going to start off by saying that this program may work (it doesn't for everyone, just like anything), but it isn't magical or anything special - it's just doing something right, just like many other diets. Note that the first text that appears on the main page - "low-fat diet don't work, low-Calorie diets don't work, low-carb diets don't work etc." - is PURE marketing to make their site seem more attractive. Those methods DO work, and they work damn well. But YOU have to make them work by doing things right and what you're supposed to be doing; it's not just one aspect what makes a diet work (i.e. low-fat) but everything in conjunction. For example, YOU CANNOT LOSE FAT without a calorie deficit; low-Calorie diets just aren't as successful as others because people tend to starve themselves on them so they can lose weight faster, and then they get so hungry (which means added dificulty) that they binge-eat or just stray from the path, and regain back any possible weight they may have lost. However, if you eat a healthy, Calorie-restricted diet (i.e. 1300 kilocalories a day) that DOESN'T have you starving, and put it together with exercise, you WILL lose weight, no other way around it. Fat los is very much a Math (kilocalorie) game.
And, yes, you don't need any special progam to lose fat. To think that you depend on some crazy miraculous diet just to be thinner is somewhat ridiculous, sorry for being blunt.
Just use your common sense and good judgment. A healthy AND calorie-restricted diet (one that includes adequate protein, sufficient water intake, whole grains, fruits, vegetables, maybe low-fat dairy and/or nuts), PLUS regular exercise is just enough to make you lose weight. There are many variations of this but at the end the core idea is the same - less energy input, more energy output. I repeat, YOU DON'T NEED EXPENSIVE SPECIAL PROGRAMS FOR THINGS YOU CAN LEARN AND DO FOR FREE. You can't beat physiology unless you're doing drugs, and even fat loss drugs make you do the same damn thing anyway by either making you eat less or expending more energy, or both.
Educate yourself, go study some medical/official nutrition books or something. Or, as I said, just use your common sense. Chances are that if you aren't losing ANY weight on ANY of these programs, it's because YOU aren't doing something right - maybe eating too much or accidentally deviating from the program (i.e. you're on Atkins but drink Gatorade which is full of sugar!).