Some people get emails saying their application has been updated. Others just log in to the GCKey and see the status of their application displayed as "Application submitted". I assume that's what they mean when they say 'ghost update'. Others, like me (and, I assume, you) never get such updates. Last Friday, for instance, my GCKey was updated with a new "Additional documents" status, but the status of the application still displayed as "Submitted" and I didn't get any emails.
As for the last update being on June 11th, that's just the date the tracker stopped working. I really doubt your eligibility hasn't been started.