Is the Atkins diet considered very successful?

Any success is good. I'm sure it's considered by the millions of people it has helped.
Very! But........... If you are an "apple" build, with torso weight and high waisted-very good. If low waisted, with more weight on arms and legs-not as good. Low calorie/low fat may be better in that case. But apples have cholesterol and BP issues and the is no scientific question that low carb trumps low fat in this case!