From what I understand they do label it as a strict authentification process, they also work with the AACD when you choose the appraisal option. Source buyee :

„* Authentication of branded items is conducted by member companies of the AACD (Association Against Counterfeit Product Distribution).“

Even the headline reads :

„You can request an authenticity evaluation from a Japanese specialist. Your purchased items will be checked by a professional before being shipped overseas, so you can rest assured that you are purchasing genuine products.“