This was a bipartisan bill that passed both chambers unanimously and was also signed by Governor Beshear. This isn't some one-sided overreach that seeks to push morality onto people.
Most, if not all, states including California, are working on legislation to protect minors on the Internet and trying to figure out the intent, scope, and best implementation. There is no universally-accepted best practice on how an Internet user can prove their age. Companies like Meta have tried using AI solutions to verify a user's age, but there are obvious shortfalls.
Pornhub wants the standard to be "device-based verification", and they simply don't want to use the third-party verifier that states like Kentucky want them to use on every visit. No matter what the standard is, a kid or adult male could still just use their mom's or wife's ID to pass the verification step if they had no other workaround.