This is just false. From the PADI digital instructor manual:
For Advanced Open Water Diver, student divers meet performance requirements:
• Complete five Adventure Dives including Deep and Underwater Navigation.
• Complete the five Knowledge Reviews for the completed Adventure Dives.
• Complete Thinking Like a Diver Knowledge Development section.
IIRC, you can be credited with some dives if you have the specialty, but you can't for example take Deep Diver for credit in AOW, because AOW (or adventure) is required before you take Deep, anyone can check that here.
SSI, I believe is a collection of specialty courses that you take to earn AOW. I agree with you that PADI is not the end all be all, it's much more about the instructor, but as a professional, you have access to the instructor manual and people expect that what you say is going to be factual.
You are correct...i confused the format for PADI advanced with SSI.
I will say that overall I have found the classroom/knowledge aspect of NAUI courses to be more in depth and informative than PADI courses and material.
The reality is that a lot is contingent on the quality of the instructor and whether thr students are looking to learn or just check boxes.
The major advantage of NAUI advanced is the recognized depth limit compared to PADI which requires another class to be recgnized as capable of diving that last 10 meters of the recreational depth limit.
The problem with CMAS is, the last time I checked, one would be hard pressed to find a CMAS instructor in the US.
-Z