If your account is an old account that often deposits various amounts of money, the casino will not suspect you. But he just created an account a few days ago then deposited $2,000. If I were the owner or admin of that site, I would check the account often because I don't want anything wrong to happen to my site. Indeed, money laundering is an iterative process of depositing and withdrawing a certain amount of money. We know that the money laundering process is not like that because those who do money laundering will use various methods so that their plans can work well.
I would guess that it must be also related to where the money came from. I am not sure if they check that or not, but I always assumed that if the money came from a known binance wallet, or coinbase wallet or somewhere trustworthy with KYC like that, then withdrawn to somewhere like that again. Then the casinos would feel fine about it, or at least probably would feel fine if they knew and check it. But, if it comes from private wallet, and goes to private wallet then casinos may end up not feeling so sure about it as well.
Money laundering in casinos is a big risk. If it wasn't, all those people who steal millions of dollars in hacks, could simply send it to betfury, then withdraw to another account and nobody would know where the money went. Betfury and every other casino is responsible for keeping that away from their business.