You seem to have mixed things up, pick up is the process of creating attraction and people have different methods of doing this.

Are you trying to say that natural game is the same as NLP type stuff?
Of course they're are going to be underlying principles that are the same but there are also differences, reinvention's and new interpretations of these principles.
No one sees the world in the same way and society changes that's why you explain it in a different way or develop a different method of achieving the same goal.

If you use a broad brush stroke then attraction and pick up can be seen in the same light but when you get down to methods and techniques attraction doesn't have any methods because attraction is the goal pick up is a method of achieving that goal.