It depends on who you ask!
IMHO, here are the advantages to Protein Power...
You start at a certain number of carbs a day and - 30 + - and stay there until you are close to goal. No fretting about whether or how to raise your carbs or not. Believe me, the first few days are exactly like Atkins Induction.
You don't have to pee on Ketostix and fret about the readings.
You figure out your minimum protein requirements per day, based on your lean body mass.
Certain foods like lettuce, parsley and other fresh herbs are not counted as part of daily carb allowance.
You don't eat high fat dairy products thus avoiding falling into a large vat of whipped cream. Been there, done that!
Small amounts of grain products and fruit are permitted as long as they fit into your daily carb allowance.
YOu may also want to check out The 30 Day Low Carb Diet Solution that has a month of menus and recipes. It's very lenient.
As with any plan, you do it in a way that works for you. You can be following Atkins and do it more like PP or vice versa.
Karen