The reason is a technical one. At a strip club, none of your information is being transmitted; it’s just the bouncer making sure you’re of age by looking at your ID.

Per the EFF:

Age verification systems are surveillance systems. Mandatory age verification, and with it, mandatory identity verification, is the wrong approach to protecting young people online. It would force websites to require visitors to prove their age by submitting information such as government-issued identification. This scheme would lead us further towards an internet where our private data is collected and sold by default. The tens of millions of Americans who do not have government-issued identification may lose access to much of the internet. And anonymous access to the web could cease to exist.

https://www.eff.org/deeplinks/2023/03/age-verification-mandates-would-undermine-anonymity-online