Many people find it difficult to accept who they are and the bad habits that they have, accepting a habit is the first step that will determine if any help offered to you will work. As a gambler, will you find it offensive if you are referred to as a gambling addict? will you easily accept it or try to give excuses like some other people do, saying that they are not addicted to gambling when the signs are clearly there. Do you think identifying as an addicted gambler will make people stereotype you. The answer is different for every gambler here.
I don't think there will be any stereotype in gambling addiction and if there is, a big win will clear all those shitty identity.
I'm sure you already know that, no one will want to be associated with anything that seems negative in the society and that's simply because they don't want to get tagged with it but for gambling, ive seen some random street interviews where people accept that they're full time gamblers without any remorse and that's a bold way to be proud of your profession.
Personally I wouldn't want to be identified as a gambler left alone to be seen or addressed as an addicted gambler and I'm sure no one will want to be called an addict. Not in the country where I'm from.