Well you can't blame gambling sites nowadays to add KYC since gambling sites now accepts different crytos and allows you to exchange example BTC to ETH. If its a new site and ask for KYC, I wouldn't try to send anything to them, but if its an old site that has been running or operating for several years already, I would go for KYC.
That's the way to do it. If the casino has already established itself as a trustworthy site, then and only then will I try to transact with it even if there's KYC.
How do you know a casino sites that has established itself to be trustworthy? Is it based on reviews or based on its years of existence? Thats hell no: Shits happen in the gambling industry and no casino site can be trusted for a lifetime. They may have been on for some time, but they can decide to bring out their true color at any point.
What if the so called trustworthy site becomes bankrupt and needs to make money at a point or what if the management changes and the system changes entirely to become corrupt and thats the point you decide to submit your KYC, I think it is risky and for me, I dont care how reputable a site is, if it has to do with gambling, I dont submit my KYC.