Yes, I think you are on the right track.
I enrolled in the public beta program when it first started and have stayed continually registered since. Anyway, I had to log in under that registration before I could download the Installer app.
I think the issue has arisen becuase of the other troubles I've had. I've not yet had a fully functioning 10.13 install. I am using an external Firewire drive (so as to not risk my production macOS). I updated that drive from 10.12.4 to 10.13. But, I didn't see an option to install APFS. So after a successfull install, I tried the procedure of changing from HFS+ to APFS. But, I got the well known errors. First was that I couldn't select the 10.13 install as a startup disk - "Building boot caches on boot helper partition failed". I also saw "Running bless to place boot files failed" and "Could not create a preboot volume for APFS install."
I had a 10.13 volume that could not be booted. So, I decided to do a clean install. That meant erasing the drive and starting again. I booted the 10.13 Recovery volume and formatted the drive to APFS. That seemed to work but when I tried to install 10.13 I got "The installed information on the recovery server is damaged". So, I booted to 10.12.5 and formatted the external drive to HFS+ then installed 10.12.5 on that drive.
Next, I booted the external drive (in 10.12.5), went to the beta web pages and downloaded a fresh copy of the Installer. The Installer ran for a bit but then popped "Installation requires downloading important content. That content can't be downloaded at this time. Try again later.".
None of these errors are friendly or helpful in figuring out what to do or how to get 10.13 public beta working. Particularly, there is no FAQ on what to do when the install process fails somewhere as it has for many people.
When I first enrolled way back I did download the macOS Public Beta Access Utility and do what was necessary but, I've not done that since. I bet that a clean install is treated as "enrolling a new Mac" even though I wasn't really. But, why was I able to download and run the Installer app if it was necessary to run the Beta Test Utilityfirst ?Just another trap.
Cheers.