I am not understanding you.
Adventure Diver is a certification level. You get a certification card for it if you send in the paperwork. A diver who has completed OW and wants to move on has two immediate choices: Adventure Diver certification, or AOW certification. People who get the Adventure Diver certification can go on and get the AOW later. Pretty much the only reason to get the Adventure Diver certification is that something is preventing you from getting the AOW (such as your age) and you want to go on and take a course like Rescue Diver, which requires one of those certifications.
A diver with the Adventure Diver certification can indeed go on and take the Deep Diver certification, but that certification is not required to take Deep Diver. Yes, you do need a total of 5 adventure dives in order to get AOW certification, and, yes, having the Adventure Diver certification will give you 3 of them, but that certification is not required for any other PADI classes.