Um, your question makes me question what you understand the Atkins plan to be. But sure, people lose weight all sorts of ways. I know a guy who lost 50 pounds and the only change he made was switching to light beer
Basically, if we want to be healthy, we all end up in a similar place. Rely on whole foods, proper nutrition, plenty of water, and lots of exercise and you'll find whatever groove works for you.
Induction is important to those of us who follow Atkins because it's very effective at breaking bad eating habits and food addictions. But everyone has their own path.