No, you logout and login with your own userid. Just like people do with webmail, PPRuNe, etc. It's not difficult and I'm sure within the capability of most PPL holders.
I know how the system works; I 've been using it in a professional capacity since it launched. However, what you propose is impractical. What about folk like myself, who sometimes operate from field and other locations with no internet access?
A licence holder's personal logbook provides proof that flying has been carried out by an individual, not the AIS website.