This is likely to be true because, after all, as regulations become stricter, the government will not relax KYC requirements for gambling, as they need accurate data for various calculations, including potential tax liabilities.

Casino developers and owners will also be unable to do much if this happens, as it is a matter of regulation, so they will have no choice but to comply with the existing rules to minimize the occurrence of unwanted incidents.
However, before that happens, I will still remain at some non-KYC casinos. But if the policy eventually changes, the mindset may shift slightly because if we still want to gamble, we must comply with the rules (if all casinos are required to implement KYC) or choose to stop gambling to avoid privacy concerns and seek alternatives, which may be very difficult or even nonexistent.