... does KYC verification from online casinos and sport betting services not directly go against the anonymity that cryptocurrency seeks to provide to people? Does it mean that gambling online anonymously is no longer possible?
It is, the idea of using cryptocurrency is sending money from A to B even without knowing
(personally) who actually is A and/or B. With the whole lot new regulations, this way become more at risk.
Gambling anonymously online is still possible you just need to filter and choose trusted non-KYC gambling/casino sites, there are still lot of them.
While on the other hand you can choose what gambling website to trust your info if you want to proceed their KYC and stick to that. I don't know if this is a thing to a casino sites' terms but you can request to delete your account together with your info. Then proceed to register another new casino site then do KYC. Well, it's up the users. Just make sure you knew the risks because privacy leakage is dangerous than anyone could imagine.