For crypto-casinos, I doubt or should not. Centralization shouldn't involve crypto-casinos. KYC can be asked but only within a specific reason such as alarm accounts, unusual withdrawals, big amount withdrawals, or account recovery.
A mandatory KYC should only be applied to fiat casinos, which is actually the current state today. Look at Binance or Kucoin, a fully centralized and regulated, exchange but a basic account can play up to BTC2 withdrawals everyday anonymously (or should I say just with email and phone numbers). If those are allowed, then crypto-casinos should be the same.
That very reason why a crypto casino asks for KYC can be changed later on and would be enforced at their will. But it's just a maybe and IMO.
The reason why we like crypto casinos is that we can play anonymously or there's no need for us to submit KYC details. Now, if crypto casinos will be like fiat-based casinos, what would be the advantage now of crypto casinos? Just like harizen mentioned, binance or kucoin, they are just requiring KYC for clients that go beyond the basic accounts, which is already big if you will avail the daily withdrawal limit. So I don't think these crypto casinos will compulsory implement KYC anytime soon for all levels of their clients.
And as they adopt cryptocurrencies, as they enforce KYC, it won't be a problem to their users. But with that maybe that I'm saying, we don't know if it's really going to happen in the future.