Here's a short list of what I think it means to be "qualified" no matter what your card says.
1) Actually having dived in the ocean (or big lakes) with waves, surface chop, currents, etc.) I don't count 50-1,000 in a quarry as real diving, and I live in Ohio (!!!!!) where we sometimes go there to practice, instructors do training or to try out a new camera / lens, etc.
2) Able to find the damn anchor (leads to the boat, folks.)
3) Able to manage your gas and come back for safety stop / deco plus some spare PSI / BAR for emergency.
4) Buoyancy control no matter what suit, environment or conditions.
5) Able to swim around and / or still take your mask off underwater and not panic. I say this because I'm convinced this is the single greatest initial cause of panic in new and experienced divers I've seen in all my years. As long as you have gas and your reg works (see my previous post) you should be able to get out alive.
6) Being smart enough to "say when" as in drinking, etc. Not very many of us are getting paid to be in the water. We're doing it for fun 
I am a retired PADI instructor, formerly YMCA instructor and believe their educational system when followed is good. But I still see WAAAYYY too many instructors I wouldn't even dive with! I've been there wearing my red badge of courage and thinking I know it all. Somehow I survived to be a smarter, more cautious diver.....
The skills above are somethign that take more than 11, or 50 or whatever number of dives gradually building on experience. I'm not sure following a regimented program of progressive certs is the best way anymore. Dive Clubs used to do this years ago. But with liability concerns plus other dilemmas this has gone by the wayside (at least in my area.)
Heck, what do I know 
dhaas
