Even if such thing exist, I have no idea how the casino consider players as addicted because I think it is hard thing to know. Casino may notice a behavior change of the player indeed based on the deposit/wager activity but I dont think casino will close the account immediately one the casino notice it.
I don't recall seeing other businesses do something similar to that too. An exchange for example won't suddenly close your account just because you made a ton of deposits, maybe they will ask for KYC but they sure as hell love more deposits from us. Trying to be a police for something else is just a waste of time for them IMO. Unless the law specifically asks them to do so, they won't do anything about it. They have no moral obligation to do that anyway, and the players need to look after themselves to begin with.
You have many things said over there to the point that I began to get confused on which one to reply to as they seem not necessarily related. Notwithstanding, the way gambling is being related to and engaged with is not the same as trading and investment, and if you are sincere, how many traders/investors have you seen so addicted to them to the point that it becomes a serious issue that calls for either internal or external help to get them cured? That is why we should not relate them together and the more reason why brokers, exchanges etc are less concerned about this, and even the government. If a trader and investors are losing so much, they always caution themselves and it is so easy. This is unlike gambling which is tempting and addictive on its own.
As for the KYC completion, I do not think that any standard and well-regulated brokers and exchanges are so relaxed to the point that they will allow you to be trading for so long without completing them, No. If it were to be with exchanges of before, fine, you might cite some examples, but when it comes to standard, reputation and regulation, you will hardly see one today. It got more strict with the brokers, you will never be able to withdraw a dime from your account without completing your KYC, that's how stringent it is.
Lastly, the policing remark is not just appropriate in my opinion as the government and good casinos are only finding ways to help the addicts one way or the other. And to always encourage a sane society, I do not think it's too much if such is considered for special cases.