It is much better if you have licensed your site. But here I have some doubts why any licensing agency would give a license for your site to use the site completely anonymously. Because there is a lot of privacy and there are a lot of trams & conditions that no user can do any illegal activities through any licensed casino. But if your site allows users to gamble in a completely anonymous manner and if users never need to kYC then it's natural that there will be a lot of illegal activities, how do you prevent this?
He already confirmed that his site has a license. I didn't know that there are licenses which allows gambling site to operate without a KYC but I always thought that license and KYC are co-related to each other but isn't that great? I think this is a dream come true for those who are looking for licensed gambling sites while at the same time doesn't like the idea of KYC.
Playing on that type of gambling site is better than playing on a non-licensed site with no KYC because it gives you some assurance that they are safe. It will be hard for them to turn into a scam knowing that their details are already recorded and they can be tracked down easily.