I also studied the Natural Approach (and many other approaches) in this subject. But the approach that I like the most is the Natural Approach. Because for put it in practice you have and need to be aware of your student's needs. You have to be involved and know the reality of the students. You can't ommit their reality, if they are poor, rich, if they have problems at home, if they have some difficulties in learning, etc..
In addition, as the name explains it is the most natural way to learn a second language. And this is very interesting because for years many teachers teaches that others innatural ways of learning a second language. But I preffer this approach.