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.
That is what I also think: having infinite money means money is never a problem, and the reason why gamblers place bets is for the money. I know the fun can also be there, but if money were not involved in gambling, I know many gamblers wouldn't be into it.
If I had infinite money, I also would not gamble; I would only enjoy my money and look for other games that I don't need to spend money on. Gambling is a game of loss and win; I wouldn't want to lose money in gambling when I already have so much. Indeed, gambling is a business. People are more interested in it because of the money, but they always pretend as if the fun in gambling is the most interesting thing about it.