This is a ridiculous analogy
Do they store my personal info when I present my ID in person to buy those items?
The party of freedom, personal responsibility and small government invading peoples personal lives again. Ya let me give you my info so you can know I’m allowed to watch fat asses in privacy
It's not ridiculous at all, your personal info doesn't have to be stored when you present your identification online either. It's literally just a verification check with a third party service, the porn site or the auth service never needs to store your PII.