I have thought about this thoroughly, if have unlimited funds, I will not gamble. The reason is that I don't gamble for fun but to chase winning. My fun is always when I win something big, withdraw and spend the money. I take gambling as a serious business that can fetch me money and when you remove the money, there will be little interest in gambling from many.
Since you gamble for profits there will be no need for hou go gamble anymore because you are already wealthy. Bit people who gamble for fun like myself will continue gambling when I am wealthy. That's the time that I will enjoy gambling the more, because I wouldn't have any emotional truama or sleepless nights after losing big.
If someone was gambling for the sake of profits alone and they later became extremely rich with infinite money, they might not stop gambling unless they don't have time to do so, if they have the time, they might even start gambling with a huge amount so that they can also win big and continue to double their finance. Both some people that even gamble for fun, when they become very rich, they could stop gambling.