It's not the cryptocurrency but the online casinos that will be regulated. Few years back, these gambling websites aren't that strict. I still remember playing on many websites without worrying to do KYC. They just set a limit that would trigger someone's account to do it like the user will withdraw an amount more than $1000. If you're just a small time gambler during that time, you won't need to compromise your privacy just to withdraw some small amount if you manage to win some.
Every day the rules of regulation are tightened and if earlier KYC was necessary only for large winnings, now KYC is needed by all casino players. And it becomes more casino with passing KYC. At least all major casinos have KYC.