No it's like the publisher of the adult content magazine being liable if an underage person buys the magazine. And due to burden of proof they require all stores that sell their magazine to make a copy of your ID and send it to them along with a recording of you providing the ID at the counter, some stores may require your address, iris or fingerprint scan.
Actually not to them through them to one of the few ID verifier 3rd parties that now receives a big portion of the records of anyone that buys adult content in any store with any publisher.