You are comparing apples to oranges.
PADI AOW = SSI Advanced Adventurer = SDI Advanced Adventurer
The three of them have the same program to increase the recommended depth limit to 100 ft.
On my limited experience, all operators that I saw requiring PADI AOW for a dive, would also accept SSI or SDI Advanced Adventurer.
I never saw any operator requiring a certification for limited vis dives and for dives deeper than 100', often AOW / Advanced Adventurer is not the prerequisite: deep diving specialty is.
You can check the equivalencies on the link below:
Recreational Sport Diver Equivalences - SDI | TDI | ERDI | PFI
As you can see, both SSI and SDI AOW are not a "level", but cards certifying that you completed a certain number of specialties.