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In my opinion, in your description of addiction you missed the most important point - that addiction has a negative impact on a person's health if it is not controlled and treated. Remember this compulsive feeling of wanting to gamble again and again. Get rid of it gambling addicted person compared to even a beginner is very difficult. This is nothing but a psychological problem. The same feeling a person feels when he becomes addicted to alcohol, drugs, etc.
Of course, all addictions are psychological and they wouldn't have been called addictions if it is not so because it is a matter of our mental health and minds, which is why we should not take it lightly. The winning of oneself is the beginning of the victory in the fight against addiction, we should further help ourselves in preserving our minds always to sustain this victory.
The same feeling a person feels when he becomes addicted to alcohol, drugs, etc.
I take some exceptions to this, gambling addiction might look similar to that of alcohol or drugs but not in all representations. If you would agree with me, hobbies and the love of money are not the only triggers of gambling addiction, revenge is part of it which is not applicable to addiction to alcohol or drugs.