I very much doubt that people will even want to give out information about themselves that they actually play gambling games in online casinos. In society, as a rule, there is a bias towards people who play in casinos. Therefore, in some cases, even the fact that someone will know about your online casino games will be enough for a person to stop playing in an online casino.
Government or any public or private organization should not intervene or interrupt in any activity that people are doing that may have a bad impression in the public, the general society has a bad impression on gamblers and this will discriminate them, they can just pose serious warnings but it's on the person to imposed it to himself not the government.
But sometimes Government must interfere to help the people or the addicted person because this can even effect the economy,imagine too much addict in gambling?they are burden to the community and their family for sure.
i Support government in this kind of action and hoping each government will do the same for the goodness of their own people.
We can view this as a symptom of something else, I think, something in the mind is corrupting the mental faculties of these gamblers, losing their control over their urge to gamble and their willingness to give all they have to win and make big amounts of money. This needs to be dealt with the likes of anxiety and depression and addiction. In my opinion, this is a mental sickness and this needs mental specialists and psychologists to handle these people. Government should fund specialized sectors of the medical establishment that concentrates in combating addiction and depression.