I am sure the gambling owner will respect the gamblers decision to stay away from the KYC because the gamblers want to keep their identity in secret. They don't have to use KYC for the members because they want running their website to make money and I think that will be enough if they can give a gambling website which is free from KYC.
I am completely against KYC and my reason is justified, I cannot withstand my personal details being in public or submitted on a gambling site since I know that nothing is impossible with casino sites, they could sell it to third party or even tell me stories that the account has been hacked. Online gambling should be made different from traditional gambling by giving us access to enjoy gambling privately.
Only those who doesn't care about their info out to the casino that will play on the casino site that ask for KYC. Privacy is always an issue for anyone who protects it, casinos should really understand this and offer the same features of anonymity. There are casinos that are forcing gamblers to send out KYC documents particularly when it comes to withdrawal of the funds.