From what I have read, this "method" is nothing new. He appears to make a distinction between two swings and that "tips" are specific to one method versus another. As long as one particular method works I think you should stick with it. I have personally experimented with what feels comfortable.

The one plane appears to be synonmyous with a Modern Swing or Leverage Swing.

I initially learned with a 2 plane method. After reading the book, I tried the 1 plane and found that my shots are longer and I tend to draw the ball.