IMHO if an AP is profitable considering all of his gambling activities he cannot be considered an addicted gambler because the most important thing that identifies a person as an addicted gambler is the fact that he has lost great and significant sums of money which in turn has adversely affected his entire life.
On the other hand, if an AP, for example, (and I don't think this is all that unusual) makes money as a skilled poker player and then loses all that he has won and much more playing craps with a disadvantage, then yes, he can be considered an addicted gambler.